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Simplifying 4(-5u + -3) = 5(3u + -5(-1u + -6)) Reorder the terms: 4(-3 + -5u) = 5(3u + -5(-1u + -6)) (-3 * 4 + -5u * 4) = 5(3u + -5(-1u + -6)) (-12 + -20u) = 5(3u + -5(-1u + -6)) Reorder the terms: -12 + -20u = 5(3u + -5(-6 + -1u)) -12 + -20u = 5(3u + (-6 * -5 + -1u * -5)) -12 + -20u = 5(3u + (30 + 5u)) Reorder the terms: -12 + -20u = 5(30 + 3u + 5u) Combine like terms: 3u + 5u = 8u -12 + -20u = 5(30 + 8u) -12 + -20u = (30 * 5 + 8u * 5) -12 + -20u = (150 + 40u) Solving -12 + -20u = 150 + 40u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-40u' to each side of the equation. -12 + -20u + -40u = 150 + 40u + -40u Combine like terms: -20u + -40u = -60u -12 + -60u = 150 + 40u + -40u Combine like terms: 40u + -40u = 0 -12 + -60u = 150 + 0 -12 + -60u = 150 Add '12' to each side of the equation. -12 + 12 + -60u = 150 + 12 Combine like terms: -12 + 12 = 0 0 + -60u = 150 + 12 -60u = 150 + 12 Combine like terms: 150 + 12 = 162 -60u = 162 Divide each side by '-60'. u = -2.7 Simplifying u = -2.7
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