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Simplifying 3(u + -1) + -7 = -5(-4u + 4) + -2u Reorder the terms: 3(-1 + u) + -7 = -5(-4u + 4) + -2u (-1 * 3 + u * 3) + -7 = -5(-4u + 4) + -2u (-3 + 3u) + -7 = -5(-4u + 4) + -2u Reorder the terms: -3 + -7 + 3u = -5(-4u + 4) + -2u Combine like terms: -3 + -7 = -10 -10 + 3u = -5(-4u + 4) + -2u Reorder the terms: -10 + 3u = -5(4 + -4u) + -2u -10 + 3u = (4 * -5 + -4u * -5) + -2u -10 + 3u = (-20 + 20u) + -2u Combine like terms: 20u + -2u = 18u -10 + 3u = -20 + 18u Solving -10 + 3u = -20 + 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. -10 + 3u + -18u = -20 + 18u + -18u Combine like terms: 3u + -18u = -15u -10 + -15u = -20 + 18u + -18u Combine like terms: 18u + -18u = 0 -10 + -15u = -20 + 0 -10 + -15u = -20 Add '10' to each side of the equation. -10 + 10 + -15u = -20 + 10 Combine like terms: -10 + 10 = 0 0 + -15u = -20 + 10 -15u = -20 + 10 Combine like terms: -20 + 10 = -10 -15u = -10 Divide each side by '-15'. u = 0.6666666667 Simplifying u = 0.6666666667
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