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Simplifying 5(u + 3) + -7v = 23 Reorder the terms: 5(3 + u) + -7v = 23 (3 * 5 + u * 5) + -7v = 23 (15 + 5u) + -7v = 23 Solving 15 + 5u + -7v = 23 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 + 5u + -15 + -7v = 23 + -15 Reorder the terms: 15 + -15 + 5u + -7v = 23 + -15 Combine like terms: 15 + -15 = 0 0 + 5u + -7v = 23 + -15 5u + -7v = 23 + -15 Combine like terms: 23 + -15 = 8 5u + -7v = 8 Add '7v' to each side of the equation. 5u + -7v + 7v = 8 + 7v Combine like terms: -7v + 7v = 0 5u + 0 = 8 + 7v 5u = 8 + 7v Divide each side by '5'. u = 1.6 + 1.4v Simplifying u = 1.6 + 1.4v
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