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Simplifying -3(-7v + 1) + -4v = 2(v + -2) + -2 Reorder the terms: -3(1 + -7v) + -4v = 2(v + -2) + -2 (1 * -3 + -7v * -3) + -4v = 2(v + -2) + -2 (-3 + 21v) + -4v = 2(v + -2) + -2 Combine like terms: 21v + -4v = 17v -3 + 17v = 2(v + -2) + -2 Reorder the terms: -3 + 17v = 2(-2 + v) + -2 -3 + 17v = (-2 * 2 + v * 2) + -2 -3 + 17v = (-4 + 2v) + -2 Reorder the terms: -3 + 17v = -4 + -2 + 2v Combine like terms: -4 + -2 = -6 -3 + 17v = -6 + 2v Solving -3 + 17v = -6 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -3 + 17v + -2v = -6 + 2v + -2v Combine like terms: 17v + -2v = 15v -3 + 15v = -6 + 2v + -2v Combine like terms: 2v + -2v = 0 -3 + 15v = -6 + 0 -3 + 15v = -6 Add '3' to each side of the equation. -3 + 3 + 15v = -6 + 3 Combine like terms: -3 + 3 = 0 0 + 15v = -6 + 3 15v = -6 + 3 Combine like terms: -6 + 3 = -3 15v = -3 Divide each side by '15'. v = -0.2 Simplifying v = -0.2
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