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Simplifying -2u + 42 = 8(u + -6) Reorder the terms: 42 + -2u = 8(u + -6) Reorder the terms: 42 + -2u = 8(-6 + u) 42 + -2u = (-6 * 8 + u * 8) 42 + -2u = (-48 + 8u) Solving 42 + -2u = -48 + 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. 42 + -2u + -8u = -48 + 8u + -8u Combine like terms: -2u + -8u = -10u 42 + -10u = -48 + 8u + -8u Combine like terms: 8u + -8u = 0 42 + -10u = -48 + 0 42 + -10u = -48 Add '-42' to each side of the equation. 42 + -42 + -10u = -48 + -42 Combine like terms: 42 + -42 = 0 0 + -10u = -48 + -42 -10u = -48 + -42 Combine like terms: -48 + -42 = -90 -10u = -90 Divide each side by '-10'. u = 9 Simplifying u = 9
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