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Simplifying -30 = 8(u + 5) + 2u Reorder the terms: -30 = 8(5 + u) + 2u -30 = (5 * 8 + u * 8) + 2u -30 = (40 + 8u) + 2u Combine like terms: 8u + 2u = 10u -30 = 40 + 10u Solving -30 = 40 + 10u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-10u' to each side of the equation. -30 + -10u = 40 + 10u + -10u Combine like terms: 10u + -10u = 0 -30 + -10u = 40 + 0 -30 + -10u = 40 Add '30' to each side of the equation. -30 + 30 + -10u = 40 + 30 Combine like terms: -30 + 30 = 0 0 + -10u = 40 + 30 -10u = 40 + 30 Combine like terms: 40 + 30 = 70 -10u = 70 Divide each side by '-10'. u = -7 Simplifying u = -7
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