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Simplifying -4(-5u + 5) = -5[-2u + -3(u + -4)] Reorder the terms: -4(5 + -5u) = -5[-2u + -3(u + -4)] (5 * -4 + -5u * -4) = -5[-2u + -3(u + -4)] (-20 + 20u) = -5[-2u + -3(u + -4)] Reorder the terms: -20 + 20u = -5[-2u + -3(-4 + u)] -20 + 20u = -5[-2u + (-4 * -3 + u * -3)] -20 + 20u = -5[-2u + (12 + -3u)] Reorder the terms: -20 + 20u = -5[12 + -2u + -3u] Combine like terms: -2u + -3u = -5u -20 + 20u = -5[12 + -5u] -20 + 20u = [12 * -5 + -5u * -5] -20 + 20u = [-60 + 25u] Solving -20 + 20u = -60 + 25u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-25u' to each side of the equation. -20 + 20u + -25u = -60 + 25u + -25u Combine like terms: 20u + -25u = -5u -20 + -5u = -60 + 25u + -25u Combine like terms: 25u + -25u = 0 -20 + -5u = -60 + 0 -20 + -5u = -60 Add '20' to each side of the equation. -20 + 20 + -5u = -60 + 20 Combine like terms: -20 + 20 = 0 0 + -5u = -60 + 20 -5u = -60 + 20 Combine like terms: -60 + 20 = -40 -5u = -40 Divide each side by '-5'. u = 8 Simplifying u = 8
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