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