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

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

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Solution Steps

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

  1. Combine the \( g \) terms on the left side.
  2. Combine the \( g \) terms on the right side.
  3. Move all \( g \) terms to one side of the equation.
  4. Solve for \( g \).
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 \( g \): \[ g = 8 \]

Final Answer

\(\boxed{g = 8}\)

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