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Question Find the value of ss that satisfies the equation 3(s+4)=303(s+4)=30.

Studdy Solution

STEP 1

1. The equation 3(s+4)=303(s+4)=30 is a linear equation in one variable, ss.
2. To find the value of ss, we need to isolate ss on one side of the equation.

STEP 2

1. Distribute the multiplication over the addition within the parentheses.
2. Divide both sides of the equation by the coefficient of ss to isolate ss.
3. Solve for ss and write the final answer.

STEP 3

Distribute the multiplication of 3 over the addition within the parentheses.
3(s+4)=3⋅s+3⋅4 3(s+4) = 3 \cdot s + 3 \cdot 4

STEP 4

Simplify the right side of the equation by performing the multiplication.
3s+12=30 3s + 12 = 30

STEP 5

Subtract 12 from both sides of the equation to isolate terms with ss on one side.
3s+12−12=30−12 3s + 12 - 12 = 30 - 12

STEP 6

Simplify both sides of the equation after subtraction.
3s=18 3s = 18

STEP 7

Divide both sides of the equation by 3 to solve for ss.
3s3=183 \frac{3s}{3} = \frac{18}{3}

STEP 8

Simplify both sides of the equation after division.
s=6 s = 6
The value of ss is 6.

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