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Simplifying 3(u + -6) + -7 = -5(-4u + 7) + -2u Reorder the terms: 3(-6 + u) + -7 = -5(-4u + 7) + -2u (-6 * 3 + u * 3) + -7 = -5(-4u + 7) + -2u (-18 + 3u) + -7 = -5(-4u + 7) + -2u Reorder the terms: -18 + -7 + 3u = -5(-4u + 7) + -2u Combine like terms: -18 + -7 = -25 -25 + 3u = -5(-4u + 7) + -2u Reorder the terms: -25 + 3u = -5(7 + -4u) + -2u -25 + 3u = (7 * -5 + -4u * -5) + -2u -25 + 3u = (-35 + 20u) + -2u Combine like terms: 20u + -2u = 18u -25 + 3u = -35 + 18u Solving -25 + 3u = -35 + 18u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-18u' to each side of the equation. -25 + 3u + -18u = -35 + 18u + -18u Combine like terms: 3u + -18u = -15u -25 + -15u = -35 + 18u + -18u Combine like terms: 18u + -18u = 0 -25 + -15u = -35 + 0 -25 + -15u = -35 Add '25' to each side of the equation. -25 + 25 + -15u = -35 + 25 Combine like terms: -25 + 25 = 0 0 + -15u = -35 + 25 -15u = -35 + 25 Combine like terms: -35 + 25 = -10 -15u = -10 Divide each side by '-15'. u = 0.6666666667 Simplifying u = 0.6666666667
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