Question

) complete the process of solving the equation. ) fill in all missing terms and select all missing descriptions. simplify any fractions. 2(s + 6) = 14 s + 6 = □ s = □

Explanation:

Step1: Divide both sides by 2

To isolate the term \( s + 6 \), we divide both sides of the equation \( 2(s + 6)=14 \) by 2. Using the division property of equality (if \( a = b \), then \( \frac{a}{c}=\frac{b}{c} \) for \( c
eq0 \)), we get:
\( \frac{2(s + 6)}{2}=\frac{14}{2} \)
Simplifying both sides, we have \( s + 6 = 7 \).

Step2: Subtract 6 from both sides

To solve for \( s \), we subtract 6 from both sides of the equation \( s + 6 = 7 \). Using the subtraction property of equality (if \( a = b \), then \( a - c = b - c \)), we get:
\( s + 6 - 6 = 7 - 6 \)
Simplifying both sides, we find \( s = 1 \).

Answer:

For the first blank (after \( s + 6 = \)): \( 7 \) (description: Divide both sides by 2)
For the second blank (after \( s = \)): \( 1 \) (description: Subtract 6 from both sides)