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Simplifying 5(u + -4) + -8 = -5(-4u + 2) + -3u Reorder the terms: 5(-4 + u) + -8 = -5(-4u + 2) + -3u (-4 * 5 + u * 5) + -8 = -5(-4u + 2) + -3u (-20 + 5u) + -8 = -5(-4u + 2) + -3u Reorder the terms: -20 + -8 + 5u = -5(-4u + 2) + -3u Combine like terms: -20 + -8 = -28 -28 + 5u = -5(-4u + 2) + -3u Reorder the terms: -28 + 5u = -5(2 + -4u) + -3u -28 + 5u = (2 * -5 + -4u * -5) + -3u -28 + 5u = (-10 + 20u) + -3u Combine like terms: 20u + -3u = 17u -28 + 5u = -10 + 17u Solving -28 + 5u = -10 + 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. -28 + 5u + -17u = -10 + 17u + -17u Combine like terms: 5u + -17u = -12u -28 + -12u = -10 + 17u + -17u Combine like terms: 17u + -17u = 0 -28 + -12u = -10 + 0 -28 + -12u = -10 Add '28' to each side of the equation. -28 + 28 + -12u = -10 + 28 Combine like terms: -28 + 28 = 0 0 + -12u = -10 + 28 -12u = -10 + 28 Combine like terms: -10 + 28 = 18 -12u = 18 Divide each side by '-12'. u = -1.5 Simplifying u = -1.5
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