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Simplifying -2(-9v + 2) + -7v = 3(v + -2) + -2 Reorder the terms: -2(2 + -9v) + -7v = 3(v + -2) + -2 (2 * -2 + -9v * -2) + -7v = 3(v + -2) + -2 (-4 + 18v) + -7v = 3(v + -2) + -2 Combine like terms: 18v + -7v = 11v -4 + 11v = 3(v + -2) + -2 Reorder the terms: -4 + 11v = 3(-2 + v) + -2 -4 + 11v = (-2 * 3 + v * 3) + -2 -4 + 11v = (-6 + 3v) + -2 Reorder the terms: -4 + 11v = -6 + -2 + 3v Combine like terms: -6 + -2 = -8 -4 + 11v = -8 + 3v Solving -4 + 11v = -8 + 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. -4 + 11v + -3v = -8 + 3v + -3v Combine like terms: 11v + -3v = 8v -4 + 8v = -8 + 3v + -3v Combine like terms: 3v + -3v = 0 -4 + 8v = -8 + 0 -4 + 8v = -8 Add '4' to each side of the equation. -4 + 4 + 8v = -8 + 4 Combine like terms: -4 + 4 = 0 0 + 8v = -8 + 4 8v = -8 + 4 Combine like terms: -8 + 4 = -4 8v = -4 Divide each side by '8'. v = -0.5 Simplifying v = -0.5
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