Question

solve for g.
1.6(5 + g) - 17 = 2.2
g =

Explanation:

Step1: Add 17 to both sides

To isolate the term with \( g \), we first add 17 to both sides of the equation \( 1.6(5 + g) - 17 = 2.2 \). This gives us \( 1.6(5 + g) = 2.2 + 17 \). Calculating the right side, \( 2.2 + 17 = 19.2 \), so the equation becomes \( 1.6(5 + g) = 19.2 \).

Step2: Divide both sides by 1.6

Next, we divide both sides by 1.6 to solve for \( 5 + g \). So, \( \frac{1.6(5 + g)}{1.6} = \frac{19.2}{1.6} \). Simplifying, we get \( 5 + g = 12 \).

Step3: Subtract 5 from both sides

Finally, we subtract 5 from both sides to solve for \( g \). That is, \( 5 + g - 5 = 12 - 5 \), which simplifies to \( g = 7 \).

Answer:

\( g = 7 \)