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Simplifying 1(9v + 1) = 80 + -2(4v + -3) Reorder the terms: 1(1 + 9v) = 80 + -2(4v + -3) (1 * 1 + 9v * 1) = 80 + -2(4v + -3) (1 + 9v) = 80 + -2(4v + -3) Reorder the terms: 1 + 9v = 80 + -2(-3 + 4v) 1 + 9v = 80 + (-3 * -2 + 4v * -2) 1 + 9v = 80 + (6 + -8v) Combine like terms: 80 + 6 = 86 1 + 9v = 86 + -8v Solving 1 + 9v = 86 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 1 + 9v + 8v = 86 + -8v + 8v Combine like terms: 9v + 8v = 17v 1 + 17v = 86 + -8v + 8v Combine like terms: -8v + 8v = 0 1 + 17v = 86 + 0 1 + 17v = 86 Add '-1' to each side of the equation. 1 + -1 + 17v = 86 + -1 Combine like terms: 1 + -1 = 0 0 + 17v = 86 + -1 17v = 86 + -1 Combine like terms: 86 + -1 = 85 17v = 85 Divide each side by '17'. v = 5 Simplifying v = 5
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