Question

use the hanger balance to model and solve the eq
now use the distributive property to rewrite
the equation without parentheses.
3(g + 1) = 9
3g + 3 = 9
how can you get the expression 3g by itself
on one side of the equation?
? ? on both sides.

Explanation:

Step1: Identify the equation

We have the equation \(3g + 3=9\). Our goal is to isolate \(3g\) on one side.

Step2: Use the subtraction property of equality

The subtraction property of equality states that if we subtract the same number from both sides of an equation, the equation remains true. To get rid of the \(+ 3\) on the left - hand side (LHS) with \(3g\), we subtract 3 from both sides of the equation.
Mathematically, if \(3g+3 = 9\), then \((3g + 3)-3=9 - 3\).
Simplifying the left - hand side: \((3g+3)-3=3g+(3 - 3)=3g\).
Simplifying the right - hand side: \(9 - 3 = 6\). So, after subtracting 3 from both sides, we get \(3g=6\).

Answer:

We can get the expression \(3g\) by itself on one side of the equation by subtracting 3 on both sides. The first box should be filled with "Subtract" and the second box should be filled with "3".