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Simplifying 2(9u + 8) + 7v + -1 = 40 Reorder the terms: 2(8 + 9u) + 7v + -1 = 40 (8 * 2 + 9u * 2) + 7v + -1 = 40 (16 + 18u) + 7v + -1 = 40 Reorder the terms: 16 + -1 + 18u + 7v = 40 Combine like terms: 16 + -1 = 15 15 + 18u + 7v = 40 Solving 15 + 18u + 7v = 40 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 18u + -15 + 7v = 40 + -15 Reorder the terms: 15 + -15 + 18u + 7v = 40 + -15 Combine like terms: 15 + -15 = 0 0 + 18u + 7v = 40 + -15 18u + 7v = 40 + -15 Combine like terms: 40 + -15 = 25 18u + 7v = 25 Add '-7v' to each side of the equation. 18u + 7v + -7v = 25 + -7v Combine like terms: 7v + -7v = 0 18u + 0 = 25 + -7v 18u = 25 + -7v Divide each side by '18'. u = 1.388888889 + -0.3888888889v Simplifying u = 1.388888889 + -0.3888888889v
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