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what value of u is a solution to this equation? -8u + 2u + 12 = -24 u =…

Question

what value of u is a solution to this equation? -8u + 2u + 12 = -24 u = -8 u = 6 submit

Explanation:

Step1: Combine like terms

Combine the \(u\)-terms: \(-8u + 2u=-6u\), so the equation becomes \(-6u + 12=-24\).

Step2: Subtract 12 from both sides

Subtract 12 from each side: \(-6u+12 - 12=-24 - 12\), which simplifies to \(-6u=-36\).

Step3: Divide by -6

Divide both sides by \(-6\): \(\frac{-6u}{-6}=\frac{-36}{-6}\), so \(u = 6\).

Answer:

\(u = 6\)