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Simplifying 5(4u + -2) = 2(2u + -1) Reorder the terms: 5(-2 + 4u) = 2(2u + -1) (-2 * 5 + 4u * 5) = 2(2u + -1) (-10 + 20u) = 2(2u + -1) Reorder the terms: -10 + 20u = 2(-1 + 2u) -10 + 20u = (-1 * 2 + 2u * 2) -10 + 20u = (-2 + 4u) Solving -10 + 20u = -2 + 4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4u' to each side of the equation. -10 + 20u + -4u = -2 + 4u + -4u Combine like terms: 20u + -4u = 16u -10 + 16u = -2 + 4u + -4u Combine like terms: 4u + -4u = 0 -10 + 16u = -2 + 0 -10 + 16u = -2 Add '10' to each side of the equation. -10 + 10 + 16u = -2 + 10 Combine like terms: -10 + 10 = 0 0 + 16u = -2 + 10 16u = -2 + 10 Combine like terms: -2 + 10 = 8 16u = 8 Divide each side by '16'. u = 0.5 Simplifying u = 0.5
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