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Simplifying 5v + 1 + -7(-2v + -2) = 3(v + -1) Reorder the terms: 5v + 1 + -7(-2 + -2v) = 3(v + -1) 5v + 1 + (-2 * -7 + -2v * -7) = 3(v + -1) 5v + 1 + (14 + 14v) = 3(v + -1) Reorder the terms: 1 + 14 + 5v + 14v = 3(v + -1) Combine like terms: 1 + 14 = 15 15 + 5v + 14v = 3(v + -1) Combine like terms: 5v + 14v = 19v 15 + 19v = 3(v + -1) Reorder the terms: 15 + 19v = 3(-1 + v) 15 + 19v = (-1 * 3 + v * 3) 15 + 19v = (-3 + 3v) Solving 15 + 19v = -3 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 15 + 19v + -3v = -3 + 3v + -3v Combine like terms: 19v + -3v = 16v 15 + 16v = -3 + 3v + -3v Combine like terms: 3v + -3v = 0 15 + 16v = -3 + 0 15 + 16v = -3 Add '-15' to each side of the equation. 15 + -15 + 16v = -3 + -15 Combine like terms: 15 + -15 = 0 0 + 16v = -3 + -15 16v = -3 + -15 Combine like terms: -3 + -15 = -18 16v = -18 Divide each side by '16'. v = -1.125 Simplifying v = -1.125
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