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use the hanger balance to model and solve the equation $3(g + 1) = 9$. …

Question

use the hanger balance to model and solve the equation $3(g + 1) = 9$.
what does $3(g + 1)$ represent?
3 groups of $g + 1$
how many 1s go on the right side of the hanger balance?

Explanation:

Step1: Expand the left-hand side

$3(g+1) = 3g + 3$

Step2: Set equal to right-hand side

$3g + 3 = 9$

Step3: Isolate the term with $g$

Subtract 3 from both sides: $3g = 9 - 3 = 6$

Step4: Solve for total 1s on right

The right side is 9, which is 9 units of 1. Alternatively, match the left's 3 ones plus the value from $3g$: total right 1s = 9.

Answer:

9