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Simplifying 3(u + -4) + -8 = -5(-4u + 2) + -1u Reorder the terms: 3(-4 + u) + -8 = -5(-4u + 2) + -1u (-4 * 3 + u * 3) + -8 = -5(-4u + 2) + -1u (-12 + 3u) + -8 = -5(-4u + 2) + -1u Reorder the terms: -12 + -8 + 3u = -5(-4u + 2) + -1u Combine like terms: -12 + -8 = -20 -20 + 3u = -5(-4u + 2) + -1u Reorder the terms: -20 + 3u = -5(2 + -4u) + -1u -20 + 3u = (2 * -5 + -4u * -5) + -1u -20 + 3u = (-10 + 20u) + -1u Combine like terms: 20u + -1u = 19u -20 + 3u = -10 + 19u Solving -20 + 3u = -10 + 19u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-19u' to each side of the equation. -20 + 3u + -19u = -10 + 19u + -19u Combine like terms: 3u + -19u = -16u -20 + -16u = -10 + 19u + -19u Combine like terms: 19u + -19u = 0 -20 + -16u = -10 + 0 -20 + -16u = -10 Add '20' to each side of the equation. -20 + 20 + -16u = -10 + 20 Combine like terms: -20 + 20 = 0 0 + -16u = -10 + 20 -16u = -10 + 20 Combine like terms: -10 + 20 = 10 -16u = 10 Divide each side by '-16'. u = -0.625 Simplifying u = -0.625
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