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Simplifying 4(u + -5) = 7u + -32 Reorder the terms: 4(-5 + u) = 7u + -32 (-5 * 4 + u * 4) = 7u + -32 (-20 + 4u) = 7u + -32 Reorder the terms: -20 + 4u = -32 + 7u Solving -20 + 4u = -32 + 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. -20 + 4u + -7u = -32 + 7u + -7u Combine like terms: 4u + -7u = -3u -20 + -3u = -32 + 7u + -7u Combine like terms: 7u + -7u = 0 -20 + -3u = -32 + 0 -20 + -3u = -32 Add '20' to each side of the equation. -20 + 20 + -3u = -32 + 20 Combine like terms: -20 + 20 = 0 0 + -3u = -32 + 20 -3u = -32 + 20 Combine like terms: -32 + 20 = -12 -3u = -12 Divide each side by '-3'. u = 4 Simplifying u = 4
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