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Simplifying -7(-4u + -1) + -8u = 2(u + -9) + -3 Reorder the terms: -7(-1 + -4u) + -8u = 2(u + -9) + -3 (-1 * -7 + -4u * -7) + -8u = 2(u + -9) + -3 (7 + 28u) + -8u = 2(u + -9) + -3 Combine like terms: 28u + -8u = 20u 7 + 20u = 2(u + -9) + -3 Reorder the terms: 7 + 20u = 2(-9 + u) + -3 7 + 20u = (-9 * 2 + u * 2) + -3 7 + 20u = (-18 + 2u) + -3 Reorder the terms: 7 + 20u = -18 + -3 + 2u Combine like terms: -18 + -3 = -21 7 + 20u = -21 + 2u Solving 7 + 20u = -21 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. 7 + 20u + -2u = -21 + 2u + -2u Combine like terms: 20u + -2u = 18u 7 + 18u = -21 + 2u + -2u Combine like terms: 2u + -2u = 0 7 + 18u = -21 + 0 7 + 18u = -21 Add '-7' to each side of the equation. 7 + -7 + 18u = -21 + -7 Combine like terms: 7 + -7 = 0 0 + 18u = -21 + -7 18u = -21 + -7 Combine like terms: -21 + -7 = -28 18u = -28 Divide each side by '18'. u = -1.555555556 Simplifying u = -1.555555556
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