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Simplifying -9 + 6(9u + 14) = -3(-15u + 5) Reorder the terms: -9 + 6(14 + 9u) = -3(-15u + 5) -9 + (14 * 6 + 9u * 6) = -3(-15u + 5) -9 + (84 + 54u) = -3(-15u + 5) Combine like terms: -9 + 84 = 75 75 + 54u = -3(-15u + 5) Reorder the terms: 75 + 54u = -3(5 + -15u) 75 + 54u = (5 * -3 + -15u * -3) 75 + 54u = (-15 + 45u) Solving 75 + 54u = -15 + 45u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-45u' to each side of the equation. 75 + 54u + -45u = -15 + 45u + -45u Combine like terms: 54u + -45u = 9u 75 + 9u = -15 + 45u + -45u Combine like terms: 45u + -45u = 0 75 + 9u = -15 + 0 75 + 9u = -15 Add '-75' to each side of the equation. 75 + -75 + 9u = -15 + -75 Combine like terms: 75 + -75 = 0 0 + 9u = -15 + -75 9u = -15 + -75 Combine like terms: -15 + -75 = -90 9u = -90 Divide each side by '9'. u = -10 Simplifying u = -10
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