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