Question

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

Explanation:

Step1: Analyze the equation

We have the equation \(3g + 3 = 9\). To get \(3g\) by itself, we need to eliminate the \(+3\) on the left - hand side.

Step2: Apply the inverse operation

The inverse operation of addition is subtraction. So we subtract 3 from both sides of the equation. Mathematically, if we have \(a + b=c\), to solve for \(a\), we do \(a + b - b=c - b\), which simplifies to \(a=c - b\). In our equation \(3g+3 = 9\), \(a = 3g\), \(b = 3\), and \(c = 9\). So we perform the operation: subtract 3 on both sides.

Answer:

Subtract, 3