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Simplifying -5(2u + -3) + 7u = 8 + 3(4u + -1) Reorder the terms: -5(-3 + 2u) + 7u = 8 + 3(4u + -1) (-3 * -5 + 2u * -5) + 7u = 8 + 3(4u + -1) (15 + -10u) + 7u = 8 + 3(4u + -1) Combine like terms: -10u + 7u = -3u 15 + -3u = 8 + 3(4u + -1) Reorder the terms: 15 + -3u = 8 + 3(-1 + 4u) 15 + -3u = 8 + (-1 * 3 + 4u * 3) 15 + -3u = 8 + (-3 + 12u) Combine like terms: 8 + -3 = 5 15 + -3u = 5 + 12u Solving 15 + -3u = 5 + 12u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-12u' to each side of the equation. 15 + -3u + -12u = 5 + 12u + -12u Combine like terms: -3u + -12u = -15u 15 + -15u = 5 + 12u + -12u Combine like terms: 12u + -12u = 0 15 + -15u = 5 + 0 15 + -15u = 5 Add '-15' to each side of the equation. 15 + -15 + -15u = 5 + -15 Combine like terms: 15 + -15 = 0 0 + -15u = 5 + -15 -15u = 5 + -15 Combine like terms: 5 + -15 = -10 -15u = -10 Divide each side by '-15'. u = 0.6666666667 Simplifying u = 0.6666666667
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