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Simplifying 7v + 2 = 9 + -4(2v + -2) Reorder the terms: 2 + 7v = 9 + -4(2v + -2) Reorder the terms: 2 + 7v = 9 + -4(-2 + 2v) 2 + 7v = 9 + (-2 * -4 + 2v * -4) 2 + 7v = 9 + (8 + -8v) Combine like terms: 9 + 8 = 17 2 + 7v = 17 + -8v Solving 2 + 7v = 17 + -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. 2 + 7v + 8v = 17 + -8v + 8v Combine like terms: 7v + 8v = 15v 2 + 15v = 17 + -8v + 8v Combine like terms: -8v + 8v = 0 2 + 15v = 17 + 0 2 + 15v = 17 Add '-2' to each side of the equation. 2 + -2 + 15v = 17 + -2 Combine like terms: 2 + -2 = 0 0 + 15v = 17 + -2 15v = 17 + -2 Combine like terms: 17 + -2 = 15 15v = 15 Divide each side by '15'. v = 1 Simplifying v = 1
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