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Simplifying 4u + -3(u + -4) + -18x + 12 = 3(14 + -11x) Reorder the terms: 4u + -3(-4 + u) + -18x + 12 = 3(14 + -11x) 4u + (-4 * -3 + u * -3) + -18x + 12 = 3(14 + -11x) 4u + (12 + -3u) + -18x + 12 = 3(14 + -11x) Reorder the terms: 12 + 12 + 4u + -3u + -18x = 3(14 + -11x) Combine like terms: 12 + 12 = 24 24 + 4u + -3u + -18x = 3(14 + -11x) Combine like terms: 4u + -3u = 1u 24 + 1u + -18x = 3(14 + -11x) 24 + 1u + -18x = (14 * 3 + -11x * 3) 24 + 1u + -18x = (42 + -33x) Solving 24 + 1u + -18x = 42 + -33x Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 1u + -24 + -18x = 42 + -24 + -33x Reorder the terms: 24 + -24 + 1u + -18x = 42 + -24 + -33x Combine like terms: 24 + -24 = 0 0 + 1u + -18x = 42 + -24 + -33x 1u + -18x = 42 + -24 + -33x Combine like terms: 42 + -24 = 18 1u + -18x = 18 + -33x Add '18x' to each side of the equation. 1u + -18x + 18x = 18 + -33x + 18x Combine like terms: -18x + 18x = 0 1u + 0 = 18 + -33x + 18x 1u = 18 + -33x + 18x Combine like terms: -33x + 18x = -15x 1u = 18 + -15x Divide each side by '1'. u = 18 + -15x Simplifying u = 18 + -15x
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