Questions: Solve the following linear equation using equivalent equations to isolate the variable. Express your answer as an integer, as a simplified fraction, or as a decimal number rounded to two places. -6v + 8v = -20 + 6

Solve the following linear equation using equivalent equations to isolate the variable. Express your answer as an integer, as a simplified fraction, or as a decimal number rounded to two places. -6v + 8v = -20 + 6
Transcript text: Solve the following linear equation using equivalent equations to isolate the variable. Express your answer as an integer, as a simplified fraction, or as a decimal number rounded to two places. \[ -6 v+8 v=-20+6 \]
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Solution

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Solution Steps

Step 1: Combine like terms on the left side

Combine the terms involving \( v \) on the left side of the equation: \[ -6v + 8v = 2v \]

Step 2: Simplify the right side

Simplify the right side of the equation: \[ -20 + 6 = -14 \]

Step 3: Solve for \( v \)

Divide both sides of the equation by 2 to isolate \( v \): \[ 2v = -14 \] \[ v = \frac{-14}{2} \] \[ v = -7 \]

Final Answer

\[ \boxed{v = -7} \]

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