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Simplifying -4(-7u + 3) + -5u = 5(u + -5) + -2 Reorder the terms: -4(3 + -7u) + -5u = 5(u + -5) + -2 (3 * -4 + -7u * -4) + -5u = 5(u + -5) + -2 (-12 + 28u) + -5u = 5(u + -5) + -2 Combine like terms: 28u + -5u = 23u -12 + 23u = 5(u + -5) + -2 Reorder the terms: -12 + 23u = 5(-5 + u) + -2 -12 + 23u = (-5 * 5 + u * 5) + -2 -12 + 23u = (-25 + 5u) + -2 Reorder the terms: -12 + 23u = -25 + -2 + 5u Combine like terms: -25 + -2 = -27 -12 + 23u = -27 + 5u Solving -12 + 23u = -27 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. -12 + 23u + -5u = -27 + 5u + -5u Combine like terms: 23u + -5u = 18u -12 + 18u = -27 + 5u + -5u Combine like terms: 5u + -5u = 0 -12 + 18u = -27 + 0 -12 + 18u = -27 Add '12' to each side of the equation. -12 + 12 + 18u = -27 + 12 Combine like terms: -12 + 12 = 0 0 + 18u = -27 + 12 18u = -27 + 12 Combine like terms: -27 + 12 = -15 18u = -15 Divide each side by '18'. u = -0.8333333333 Simplifying u = -0.8333333333
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