QuestionSolve for $d$ : 3 times the sum of $d$ and 4 equals 32.

Studdy Solution

STEP 1

Assumptions1. We are given that three times the sum of a number $d$ and4 is32. . We are to find the value of $d$ .

STEP 2

First, we need to translate the given statement into a mathematical equation.In the given statement, "Three times the sum of $d$ and4 is32", "three times" means multiplication by, "the sum of $d$ and4" means $d +4$ , and "is" means equals. So, we can write the equation as $(d +4) =32$

STEP 3

Now, we need to simplify the left side of the equation by distributing3 to both $d$ and.
$3d +12 =32$

STEP 4

Next, we need to isolate $d$ on one side of the equation. We can do this by subtracting12 from both sides of the equation.
$3d +12 -12 =32 -12$

STEP 5

implify the equation.
$3d =20$

STEP 6

Finally, to solve for $d$ , we divide both sides of the equation by3.
$d = \frac{20}{3}$ So, the value of $d$ is $\frac{20}{3}$ .

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QuestionSolve for $d$ : 3 times the sum of $d$ and 4 equals 32.

Studdy Solution

STEP 1

Assumptions1. We are given that three times the sum of a number $d$ and4 is32. . We are to find the value of $d$ .

STEP 2

First, we need to translate the given statement into a mathematical equation.In the given statement, "Three times the sum of $d$ and4 is32", "three times" means multiplication by, "the sum of $d$ and4" means $d +4$ , and "is" means equals. So, we can write the equation as $(d +4) =32$

STEP 3

Now, we need to simplify the left side of the equation by distributing3 to both $d$ and.
$3d +12 =32$

STEP 4

Next, we need to isolate $d$ on one side of the equation. We can do this by subtracting12 from both sides of the equation.
$3d +12 -12 =32 -12$

STEP 5

implify the equation.
$3d =20$

STEP 6

Finally, to solve for $d$ , we divide both sides of the equation by3.
$d = \frac{20}{3}$ So, the value of $d$ is $\frac{20}{3}$ .

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QuestionSolve for ddd: 3 times the sum of ddd and 4 equals 32.

Studdy Solution

STEP 1

Assumptions1. We are given that three times the sum of a number ddd and4 is32. . We are to find the value of ddd.

STEP 2

STEP 3

Now, we need to simplify the left side of the equation by distributing3 to both ddd and.3d+12=323d +12 =323d+12=32

STEP 4

Next, we need to isolate ddd on one side of the equation. We can do this by subtracting12 from both sides of the equation.3d+12−12=32−123d +12 -12 =32 -123d+12−12=32−12

STEP 5

implify the equation.3d=203d =203d=20

STEP 6

Finally, to solve for ddd, we divide both sides of the equation by3.d=203d = \frac{20}{3}d=320​So, the value of ddd is 203\frac{20}{3}320​.

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QuestionSolve for $d$ : 3 times the sum of $d$ and 4 equals 32.

Assumptions1. We are given that three times the sum of a number $d$ and4 is32. . We are to find the value of $d$ .

Now, we need to simplify the left side of the equation by distributing3 to both $d$ and.
$3d +12 =32$

Next, we need to isolate $d$ on one side of the equation. We can do this by subtracting12 from both sides of the equation.
$3d +12 -12 =32 -12$

implify the equation.
$3d =20$

Finally, to solve for $d$ , we divide both sides of the equation by3.
$d = \frac{20}{3}$ So, the value of $d$ is $\frac{20}{3}$ .