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Solve for \( u \) \[ 8(u+6)+2 u=38 \] Simplify. your answer as much as possible \( u=\square \)

Ask by Cook Powers. in the United States
Feb 20,2025

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\( u = -1 \)

Solución

Solve the equation \( 8(u+6)+2u=38 \). Solve the equation by following steps: - step0: Solve for \(u\): \(8\left(u+6\right)+2u=38\) - step1: Move the expression to the left side: \(8\left(u+6\right)+2u-38=0\) - step2: Calculate: \(10u+10=0\) - step3: Move the constant to the right side: \(10u=0-10\) - step4: Remove 0: \(10u=-10\) - step5: Divide both sides: \(\frac{10u}{10}=\frac{-10}{10}\) - step6: Divide the numbers: \(u=-1\) The solution to the equation \(8(u+6)+2u=38\) is \(u=-1\).

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Let's start solving the equation step by step. First, distribute the \(8\) in the equation: \[ 8(u + 6) + 2u = 38 \] This becomes: \[ 8u + 48 + 2u = 38 \] Next, combine like terms: \[ (8u + 2u) + 48 = 38 \] \[ 10u + 48 = 38 \] Now, isolate \(10u\) by subtracting \(48\) from both sides: \[ 10u = 38 - 48 \] \[ 10u = -10 \] Now, divide by \(10\) to solve for \(u\): \[ u = \frac{-10}{10} \] \[ u = -1 \] So, the final answer is: \[ u = -1 \]

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