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Simplifying -3(-7v + 3) + -1v = 2(v + -1) + -4 Reorder the terms: -3(3 + -7v) + -1v = 2(v + -1) + -4 (3 * -3 + -7v * -3) + -1v = 2(v + -1) + -4 (-9 + 21v) + -1v = 2(v + -1) + -4 Combine like terms: 21v + -1v = 20v -9 + 20v = 2(v + -1) + -4 Reorder the terms: -9 + 20v = 2(-1 + v) + -4 -9 + 20v = (-1 * 2 + v * 2) + -4 -9 + 20v = (-2 + 2v) + -4 Reorder the terms: -9 + 20v = -2 + -4 + 2v Combine like terms: -2 + -4 = -6 -9 + 20v = -6 + 2v Solving -9 + 20v = -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. -9 + 20v + -2v = -6 + 2v + -2v Combine like terms: 20v + -2v = 18v -9 + 18v = -6 + 2v + -2v Combine like terms: 2v + -2v = 0 -9 + 18v = -6 + 0 -9 + 18v = -6 Add '9' to each side of the equation. -9 + 9 + 18v = -6 + 9 Combine like terms: -9 + 9 = 0 0 + 18v = -6 + 9 18v = -6 + 9 Combine like terms: -6 + 9 = 3 18v = 3 Divide each side by '18'. v = 0.1666666667 Simplifying v = 0.1666666667
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