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Simplifying 5(u + -6) = 7u + -32 Reorder the terms: 5(-6 + u) = 7u + -32 (-6 * 5 + u * 5) = 7u + -32 (-30 + 5u) = 7u + -32 Reorder the terms: -30 + 5u = -32 + 7u Solving -30 + 5u = -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. -30 + 5u + -7u = -32 + 7u + -7u Combine like terms: 5u + -7u = -2u -30 + -2u = -32 + 7u + -7u Combine like terms: 7u + -7u = 0 -30 + -2u = -32 + 0 -30 + -2u = -32 Add '30' to each side of the equation. -30 + 30 + -2u = -32 + 30 Combine like terms: -30 + 30 = 0 0 + -2u = -32 + 30 -2u = -32 + 30 Combine like terms: -32 + 30 = -2 -2u = -2 Divide each side by '-2'. u = 1 Simplifying u = 1
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