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Simplifying -4u + -2(-1u + -15) = -8(2u + -9) Reorder the terms: -4u + -2(-15 + -1u) = -8(2u + -9) -4u + (-15 * -2 + -1u * -2) = -8(2u + -9) -4u + (30 + 2u) = -8(2u + -9) Reorder the terms: 30 + -4u + 2u = -8(2u + -9) Combine like terms: -4u + 2u = -2u 30 + -2u = -8(2u + -9) Reorder the terms: 30 + -2u = -8(-9 + 2u) 30 + -2u = (-9 * -8 + 2u * -8) 30 + -2u = (72 + -16u) Solving 30 + -2u = 72 + -16u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '16u' to each side of the equation. 30 + -2u + 16u = 72 + -16u + 16u Combine like terms: -2u + 16u = 14u 30 + 14u = 72 + -16u + 16u Combine like terms: -16u + 16u = 0 30 + 14u = 72 + 0 30 + 14u = 72 Add '-30' to each side of the equation. 30 + -30 + 14u = 72 + -30 Combine like terms: 30 + -30 = 0 0 + 14u = 72 + -30 14u = 72 + -30 Combine like terms: 72 + -30 = 42 14u = 42 Divide each side by '14'. u = 3 Simplifying u = 3
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