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Simplifying 4(u + -1) = 4u + 6 + -2(-5u + -1) Reorder the terms: 4(-1 + u) = 4u + 6 + -2(-5u + -1) (-1 * 4 + u * 4) = 4u + 6 + -2(-5u + -1) (-4 + 4u) = 4u + 6 + -2(-5u + -1) Reorder the terms: -4 + 4u = 4u + 6 + -2(-1 + -5u) -4 + 4u = 4u + 6 + (-1 * -2 + -5u * -2) -4 + 4u = 4u + 6 + (2 + 10u) Reorder the terms: -4 + 4u = 6 + 2 + 4u + 10u Combine like terms: 6 + 2 = 8 -4 + 4u = 8 + 4u + 10u Combine like terms: 4u + 10u = 14u -4 + 4u = 8 + 14u Solving -4 + 4u = 8 + 14u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-14u' to each side of the equation. -4 + 4u + -14u = 8 + 14u + -14u Combine like terms: 4u + -14u = -10u -4 + -10u = 8 + 14u + -14u Combine like terms: 14u + -14u = 0 -4 + -10u = 8 + 0 -4 + -10u = 8 Add '4' to each side of the equation. -4 + 4 + -10u = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -10u = 8 + 4 -10u = 8 + 4 Combine like terms: 8 + 4 = 12 -10u = 12 Divide each side by '-10'. u = -1.2 Simplifying u = -1.2
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