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

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

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

Answer

Explanation:

Step1: Isolate the term with variable

To get $3g$ by itself on one - side of the equation $3g + 3=9$, we need to undo the addition of 3. We use the subtraction property of equality. Subtract 3 from both sides of the equation. $3g+3 - 3=9 - 3$

Step2: Simplify both sides

On the left - hand side, $3g+(3 - 3)=3g+0 = 3g$. On the right - hand side, $9−3 = 6$. So we have $3g=6$.

Step3: Solve for $g$

To solve for $g$ in the equation $3g = 6$, we use the division property of equality. Since $g$ is being multiplied by 3, we divide both sides of the equation by 3. $\frac{3g}{3}=\frac{6}{3}$ $g = 2$

Answer:

To get $3g$ by itself on one side of the equation $3g + 3=9$, subtract 3 from both sides. The solution of the equation $3(g + 1)=9$ is $g = 2$.