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Simplifying 4(u + -1) = 4u + 2 + -3(-2u + -1) Reorder the terms: 4(-1 + u) = 4u + 2 + -3(-2u + -1) (-1 * 4 + u * 4) = 4u + 2 + -3(-2u + -1) (-4 + 4u) = 4u + 2 + -3(-2u + -1) Reorder the terms: -4 + 4u = 4u + 2 + -3(-1 + -2u) -4 + 4u = 4u + 2 + (-1 * -3 + -2u * -3) -4 + 4u = 4u + 2 + (3 + 6u) Reorder the terms: -4 + 4u = 2 + 3 + 4u + 6u Combine like terms: 2 + 3 = 5 -4 + 4u = 5 + 4u + 6u Combine like terms: 4u + 6u = 10u -4 + 4u = 5 + 10u Solving -4 + 4u = 5 + 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. -4 + 4u + -10u = 5 + 10u + -10u Combine like terms: 4u + -10u = -6u -4 + -6u = 5 + 10u + -10u Combine like terms: 10u + -10u = 0 -4 + -6u = 5 + 0 -4 + -6u = 5 Add '4' to each side of the equation. -4 + 4 + -6u = 5 + 4 Combine like terms: -4 + 4 = 0 0 + -6u = 5 + 4 -6u = 5 + 4 Combine like terms: 5 + 4 = 9 -6u = 9 Divide each side by '-6'. u = -1.5 Simplifying u = -1.5
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