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Simplifying 7(5 + -4u) = -4u + -12 (5 * 7 + -4u * 7) = -4u + -12 (35 + -28u) = -4u + -12 Reorder the terms: 35 + -28u = -12 + -4u Solving 35 + -28u = -12 + -4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '4u' to each side of the equation. 35 + -28u + 4u = -12 + -4u + 4u Combine like terms: -28u + 4u = -24u 35 + -24u = -12 + -4u + 4u Combine like terms: -4u + 4u = 0 35 + -24u = -12 + 0 35 + -24u = -12 Add '-35' to each side of the equation. 35 + -35 + -24u = -12 + -35 Combine like terms: 35 + -35 = 0 0 + -24u = -12 + -35 -24u = -12 + -35 Combine like terms: -12 + -35 = -47 -24u = -47 Divide each side by '-24'. u = 1.958333333 Simplifying u = 1.958333333
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