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Simplifying -5(-5u + 4) + -4u = 5(u + -2) + -8 Reorder the terms: -5(4 + -5u) + -4u = 5(u + -2) + -8 (4 * -5 + -5u * -5) + -4u = 5(u + -2) + -8 (-20 + 25u) + -4u = 5(u + -2) + -8 Combine like terms: 25u + -4u = 21u -20 + 21u = 5(u + -2) + -8 Reorder the terms: -20 + 21u = 5(-2 + u) + -8 -20 + 21u = (-2 * 5 + u * 5) + -8 -20 + 21u = (-10 + 5u) + -8 Reorder the terms: -20 + 21u = -10 + -8 + 5u Combine like terms: -10 + -8 = -18 -20 + 21u = -18 + 5u Solving -20 + 21u = -18 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. -20 + 21u + -5u = -18 + 5u + -5u Combine like terms: 21u + -5u = 16u -20 + 16u = -18 + 5u + -5u Combine like terms: 5u + -5u = 0 -20 + 16u = -18 + 0 -20 + 16u = -18 Add '20' to each side of the equation. -20 + 20 + 16u = -18 + 20 Combine like terms: -20 + 20 = 0 0 + 16u = -18 + 20 16u = -18 + 20 Combine like terms: -18 + 20 = 2 16u = 2 Divide each side by '16'. u = 0.125 Simplifying u = 0.125
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