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. 4u - 6u = -12 - 2 u =

Solution Steps

To solve the linear equation \(4u - 6u = -12 - 2\), we need to combine like terms on both sides of the equation and then isolate the variable \(u\).

1. Combine the \(u\) terms on the left side.
2. Simplify the right side.
3. Solve for \(u\).

Starting with the equation: \[ 4u - 6u = -12 - 2 \] we combine the \(u\) terms on the left side: \[ -2u = -12 - 2 \]

Next, we simplify the right side: \[ -2u = -14 \]

To isolate \(u\), we divide both sides by \(-2\): \[ u = \frac{-14}{-2} = 7 \]

Final Answer