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Simplifying 7 + 2(2v + -3) = -3(5v + -5) + v Reorder the terms: 7 + 2(-3 + 2v) = -3(5v + -5) + v 7 + (-3 * 2 + 2v * 2) = -3(5v + -5) + v 7 + (-6 + 4v) = -3(5v + -5) + v Combine like terms: 7 + -6 = 1 1 + 4v = -3(5v + -5) + v Reorder the terms: 1 + 4v = -3(-5 + 5v) + v 1 + 4v = (-5 * -3 + 5v * -3) + v 1 + 4v = (15 + -15v) + v Combine like terms: -15v + v = -14v 1 + 4v = 15 + -14v Solving 1 + 4v = 15 + -14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14v' to each side of the equation. 1 + 4v + 14v = 15 + -14v + 14v Combine like terms: 4v + 14v = 18v 1 + 18v = 15 + -14v + 14v Combine like terms: -14v + 14v = 0 1 + 18v = 15 + 0 1 + 18v = 15 Add '-1' to each side of the equation. 1 + -1 + 18v = 15 + -1 Combine like terms: 1 + -1 = 0 0 + 18v = 15 + -1 18v = 15 + -1 Combine like terms: 15 + -1 = 14 18v = 14 Divide each side by '18'. v = 0.7777777778 Simplifying v = 0.7777777778
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