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Simplifying 2(u + -4) + -8 = -4(-5u + 1) + -3u Reorder the terms: 2(-4 + u) + -8 = -4(-5u + 1) + -3u (-4 * 2 + u * 2) + -8 = -4(-5u + 1) + -3u (-8 + 2u) + -8 = -4(-5u + 1) + -3u Reorder the terms: -8 + -8 + 2u = -4(-5u + 1) + -3u Combine like terms: -8 + -8 = -16 -16 + 2u = -4(-5u + 1) + -3u Reorder the terms: -16 + 2u = -4(1 + -5u) + -3u -16 + 2u = (1 * -4 + -5u * -4) + -3u -16 + 2u = (-4 + 20u) + -3u Combine like terms: 20u + -3u = 17u -16 + 2u = -4 + 17u Solving -16 + 2u = -4 + 17u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-17u' to each side of the equation. -16 + 2u + -17u = -4 + 17u + -17u Combine like terms: 2u + -17u = -15u -16 + -15u = -4 + 17u + -17u Combine like terms: 17u + -17u = 0 -16 + -15u = -4 + 0 -16 + -15u = -4 Add '16' to each side of the equation. -16 + 16 + -15u = -4 + 16 Combine like terms: -16 + 16 = 0 0 + -15u = -4 + 16 -15u = -4 + 16 Combine like terms: -4 + 16 = 12 -15u = 12 Divide each side by '-15'. u = -0.8 Simplifying u = -0.8
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