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Simplifying -32 = 4(u + -5) + -7u Reorder the terms: -32 = 4(-5 + u) + -7u -32 = (-5 * 4 + u * 4) + -7u -32 = (-20 + 4u) + -7u Combine like terms: 4u + -7u = -3u -32 = -20 + -3u Solving -32 = -20 + -3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '3u' to each side of the equation. -32 + 3u = -20 + -3u + 3u Combine like terms: -3u + 3u = 0 -32 + 3u = -20 + 0 -32 + 3u = -20 Add '32' to each side of the equation. -32 + 32 + 3u = -20 + 32 Combine like terms: -32 + 32 = 0 0 + 3u = -20 + 32 3u = -20 + 32 Combine like terms: -20 + 32 = 12 3u = 12 Divide each side by '3'. u = 4 Simplifying u = 4
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