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Simplifying 2(u + -5) + -7 = -5(-4u + 7) + -3u Reorder the terms: 2(-5 + u) + -7 = -5(-4u + 7) + -3u (-5 * 2 + u * 2) + -7 = -5(-4u + 7) + -3u (-10 + 2u) + -7 = -5(-4u + 7) + -3u Reorder the terms: -10 + -7 + 2u = -5(-4u + 7) + -3u Combine like terms: -10 + -7 = -17 -17 + 2u = -5(-4u + 7) + -3u Reorder the terms: -17 + 2u = -5(7 + -4u) + -3u -17 + 2u = (7 * -5 + -4u * -5) + -3u -17 + 2u = (-35 + 20u) + -3u Combine like terms: 20u + -3u = 17u -17 + 2u = -35 + 17u Solving -17 + 2u = -35 + 17u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-17u' to each side of the equation. -17 + 2u + -17u = -35 + 17u + -17u Combine like terms: 2u + -17u = -15u -17 + -15u = -35 + 17u + -17u Combine like terms: 17u + -17u = 0 -17 + -15u = -35 + 0 -17 + -15u = -35 Add '17' to each side of the equation. -17 + 17 + -15u = -35 + 17 Combine like terms: -17 + 17 = 0 0 + -15u = -35 + 17 -15u = -35 + 17 Combine like terms: -35 + 17 = -18 -15u = -18 Divide each side by '-15'. u = 1.2 Simplifying u = 1.2
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