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Simplifying -5(-5u + 3) + -5u = 2(u + -4) + -3 Reorder the terms: -5(3 + -5u) + -5u = 2(u + -4) + -3 (3 * -5 + -5u * -5) + -5u = 2(u + -4) + -3 (-15 + 25u) + -5u = 2(u + -4) + -3 Combine like terms: 25u + -5u = 20u -15 + 20u = 2(u + -4) + -3 Reorder the terms: -15 + 20u = 2(-4 + u) + -3 -15 + 20u = (-4 * 2 + u * 2) + -3 -15 + 20u = (-8 + 2u) + -3 Reorder the terms: -15 + 20u = -8 + -3 + 2u Combine like terms: -8 + -3 = -11 -15 + 20u = -11 + 2u Solving -15 + 20u = -11 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. -15 + 20u + -2u = -11 + 2u + -2u Combine like terms: 20u + -2u = 18u -15 + 18u = -11 + 2u + -2u Combine like terms: 2u + -2u = 0 -15 + 18u = -11 + 0 -15 + 18u = -11 Add '15' to each side of the equation. -15 + 15 + 18u = -11 + 15 Combine like terms: -15 + 15 = 0 0 + 18u = -11 + 15 18u = -11 + 15 Combine like terms: -11 + 15 = 4 18u = 4 Divide each side by '18'. u = 0.2222222222 Simplifying u = 0.2222222222
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