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Simplifying 4(u + -8) = 7u + -5 Reorder the terms: 4(-8 + u) = 7u + -5 (-8 * 4 + u * 4) = 7u + -5 (-32 + 4u) = 7u + -5 Reorder the terms: -32 + 4u = -5 + 7u Solving -32 + 4u = -5 + 7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7u' to each side of the equation. -32 + 4u + -7u = -5 + 7u + -7u Combine like terms: 4u + -7u = -3u -32 + -3u = -5 + 7u + -7u Combine like terms: 7u + -7u = 0 -32 + -3u = -5 + 0 -32 + -3u = -5 Add '32' to each side of the equation. -32 + 32 + -3u = -5 + 32 Combine like terms: -32 + 32 = 0 0 + -3u = -5 + 32 -3u = -5 + 32 Combine like terms: -5 + 32 = 27 -3u = 27 Divide each side by '-3'. u = -9 Simplifying u = -9
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