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Simplifying 3(u + -4) = -7u + -32 Reorder the terms: 3(-4 + u) = -7u + -32 (-4 * 3 + u * 3) = -7u + -32 (-12 + 3u) = -7u + -32 Reorder the terms: -12 + 3u = -32 + -7u Solving -12 + 3u = -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. -12 + 3u + 7u = -32 + -7u + 7u Combine like terms: 3u + 7u = 10u -12 + 10u = -32 + -7u + 7u Combine like terms: -7u + 7u = 0 -12 + 10u = -32 + 0 -12 + 10u = -32 Add '12' to each side of the equation. -12 + 12 + 10u = -32 + 12 Combine like terms: -12 + 12 = 0 0 + 10u = -32 + 12 10u = -32 + 12 Combine like terms: -32 + 12 = -20 10u = -20 Divide each side by '10'. u = -2 Simplifying u = -2
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