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Question
now that you have all the g terms on the left, you can start thinking about how to make sure the constant numbers are only on one side of the equation. what move can you make to get rid of the -6 on the left, so that all the constant numbers are on the right, while keeping the equation balanced?
5g - 6 = -5g - 4
+5g +5g
10g - 6 = -4
multiply both sides by 6
add 6 to both sides
divide both sides by 6
subtract 6 from both sides
Step1: Eliminate -6 on left side
Add 6 to both sides of the simplified equation $10g - 6 = -4$:
$10g - 6 + 6 = -4 + 6$
Step2: Simplify both sides
Calculate the constants on each side:
$10g = 2$
Step3: Isolate g variable
Divide both sides by 10:
$g = \frac{2}{10} = \frac{1}{5}$
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To eliminate the $-6$ on the left, Add 6 to both sides (this balances the equation and moves constants to the right).
The final solution for $g$ is $\boldsymbol{\frac{1}{5}}$ or $0.2$