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Simplifying 5u + -32 = -3(u + -8) Reorder the terms: -32 + 5u = -3(u + -8) Reorder the terms: -32 + 5u = -3(-8 + u) -32 + 5u = (-8 * -3 + u * -3) -32 + 5u = (24 + -3u) Solving -32 + 5u = 24 + -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 + 5u + 3u = 24 + -3u + 3u Combine like terms: 5u + 3u = 8u -32 + 8u = 24 + -3u + 3u Combine like terms: -3u + 3u = 0 -32 + 8u = 24 + 0 -32 + 8u = 24 Add '32' to each side of the equation. -32 + 32 + 8u = 24 + 32 Combine like terms: -32 + 32 = 0 0 + 8u = 24 + 32 8u = 24 + 32 Combine like terms: 24 + 32 = 56 8u = 56 Divide each side by '8'. u = 7 Simplifying u = 7
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