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Simplifying -5(-4u + 3) + -1u = 3(u + -9) + -2 Reorder the terms: -5(3 + -4u) + -1u = 3(u + -9) + -2 (3 * -5 + -4u * -5) + -1u = 3(u + -9) + -2 (-15 + 20u) + -1u = 3(u + -9) + -2 Combine like terms: 20u + -1u = 19u -15 + 19u = 3(u + -9) + -2 Reorder the terms: -15 + 19u = 3(-9 + u) + -2 -15 + 19u = (-9 * 3 + u * 3) + -2 -15 + 19u = (-27 + 3u) + -2 Reorder the terms: -15 + 19u = -27 + -2 + 3u Combine like terms: -27 + -2 = -29 -15 + 19u = -29 + 3u Solving -15 + 19u = -29 + 3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3u' to each side of the equation. -15 + 19u + -3u = -29 + 3u + -3u Combine like terms: 19u + -3u = 16u -15 + 16u = -29 + 3u + -3u Combine like terms: 3u + -3u = 0 -15 + 16u = -29 + 0 -15 + 16u = -29 Add '15' to each side of the equation. -15 + 15 + 16u = -29 + 15 Combine like terms: -15 + 15 = 0 0 + 16u = -29 + 15 16u = -29 + 15 Combine like terms: -29 + 15 = -14 16u = -14 Divide each side by '16'. u = -0.875 Simplifying u = -0.875
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