Questions: -5 u - 8 = -2 u - 1 + 4 u u = □

Transcript text: -5 u-8=-2 u-1+4 u \\ u=\square

Solution

Solution Steps

To solve for \( u \), we need to simplify and combine like terms on both sides of the equation. Then, isolate \( u \) by performing basic algebraic operations.

Step 1: Rewrite the Equation

We start with the equation: \[ -5u - 8 = -2u - 1 + 4u \]

Step 2: Simplify the Right Side

Combine like terms on the right side: \[ -5u - 8 = (4u - 2u) - 1 \] This simplifies to: \[ -5u - 8 = 2u - 1 \]

Step 3: Isolate \( u \)

Next, we add \( 5u \) to both sides and add \( 8 \) to both sides: \[ -8 + 8 = 2u + 5u - 1 + 8 \] This results in: \[ 0 = 7u + 7 \] Now, we can isolate \( u \): \[ 7u = -7 \] Dividing both sides by \( 7 \): \[ u = -1 \]

Final Answer

\(\boxed{u = -1}\)

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