Questions: Solve for g. -9-g-7g=7-10g

Transcript text: Solve for $g$. \[ -9-g-7 g=7-10 g \]

Solution

To solve for $ g $, we need to combine like terms on both sides of the equation and then isolate $ g $.

Step 1: Combine Like Terms on the Left Side

Combine the $ g $ terms on the left side of the equation: \[ -9 - g - 7g = -9 - 8g \]

Step 2: Combine Like Terms on the Right Side

Combine the $ g $ terms on the right side of the equation: \[ 7 - 10g \]

Step 3: Set the Equation

Set the simplified left side equal to the simplified right side: \[ -9 - 8g = 7 - 10g \]

Step 4: Move All $ g $ Terms to One Side

Add $ 10g $ to both sides to move all $ g $ terms to one side: \[ -9 - 8g + 10g = 7 \] \[ -9 + 2g = 7 \]

Step 5: Isolate $ g $

Add 9 to both sides to isolate $ g $: \[ 2g = 16 \]

Step 6: Solve for $ g $

Divide both sides by 2 to solve for $ g $: \[ g = 8 \]

$\boxed{g = 8}$

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