Math

QuestionSolve for dd in the equation: 28=4(3d+3)4d28=4(3 d+3)-4 d.

Studdy Solution

STEP 1

Assumptions1. The equation is 28=4(3d+3)4d28=4(3d+3)-4d . We are solving for the variable dd

STEP 2

First, we need to distribute the4 in the term 4(d+)4(d+).
28=4timesd+4times4d28=4 \\timesd +4 \\times -4d

STEP 3

Calculate the multiplication.
28=12d+12d28=12d+12-d

STEP 4

Combine like terms.
28=8d+1228=8d+12

STEP 5

Subtract12 from both sides of the equation to isolate the term with dd.
2812=8d+121228-12=8d+12-12

STEP 6

Calculate the subtraction.
16=8d16=8d

STEP 7

Divide both sides of the equation by to solve for dd.
16=d\frac{16}{}=\frac{d}{}

STEP 8

Calculate the division.
d=2d=2The solution to the equation 28=4(3d+3)4d28=4(3d+3)-4d is d=2d=2.

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