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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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