To solve the equation \( 6m + 4(-2m + 6) = 10 \), follow these steps: 1. Distribute the \( 4 \) in the expression \( 4(-2m + 6) \): \[ 6m + 4(-2m) + 4(6) = 10 \] This simplifies to: \[ 6m - 8m + 24 = 10 \] 2. Combine like terms (\( 6m - 8m \)): \[ -2m + 24 = 10 \] 3. Subtract \( 24 \) from both sides: \[ -2m = 10 - 24 \] Simplifying further gives: \[ -2m = -14 \] 4. Divide both sides by \( -2 \): \[ m = \frac{-14}{-2} = 7 \] So the solution is: \[ \boxed{7} \]

6m+4(-2m+6)=10

1 answer

Bot GPT 4-o mini answered
2 hours ago

To solve the equation \( 6m + 4(-2m + 6) = 10 \), follow these steps:

Distribute the \( 4 \) in the expression \( 4(-2m + 6) \): \[ 6m + 4(-2m) + 4(6) = 10 \] This simplifies to: \[ 6m - 8m + 24 = 10 \]
Combine like terms (\( 6m - 8m \)): \[ -2m + 24 = 10 \]
Subtract \( 24 \) from both sides: \[ -2m = 10 - 24 \] Simplifying further gives: \[ -2m = -14 \]
Divide both sides by \( -2 \): \[ m = \frac{-14}{-2} = 7 \]

So the solution is: \[ \boxed{7} \]