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Simplifying -7(-3v + 1) + -4v = 2(v + -4) + -2 Reorder the terms: -7(1 + -3v) + -4v = 2(v + -4) + -2 (1 * -7 + -3v * -7) + -4v = 2(v + -4) + -2 (-7 + 21v) + -4v = 2(v + -4) + -2 Combine like terms: 21v + -4v = 17v -7 + 17v = 2(v + -4) + -2 Reorder the terms: -7 + 17v = 2(-4 + v) + -2 -7 + 17v = (-4 * 2 + v * 2) + -2 -7 + 17v = (-8 + 2v) + -2 Reorder the terms: -7 + 17v = -8 + -2 + 2v Combine like terms: -8 + -2 = -10 -7 + 17v = -10 + 2v Solving -7 + 17v = -10 + 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. -7 + 17v + -2v = -10 + 2v + -2v Combine like terms: 17v + -2v = 15v -7 + 15v = -10 + 2v + -2v Combine like terms: 2v + -2v = 0 -7 + 15v = -10 + 0 -7 + 15v = -10 Add '7' to each side of the equation. -7 + 7 + 15v = -10 + 7 Combine like terms: -7 + 7 = 0 0 + 15v = -10 + 7 15v = -10 + 7 Combine like terms: -10 + 7 = -3 15v = -3 Divide each side by '15'. v = -0.2 Simplifying v = -0.2
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