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Simplifying 2(v + -5) + -1 = -3(-7v + 3) + -3v Reorder the terms: 2(-5 + v) + -1 = -3(-7v + 3) + -3v (-5 * 2 + v * 2) + -1 = -3(-7v + 3) + -3v (-10 + 2v) + -1 = -3(-7v + 3) + -3v Reorder the terms: -10 + -1 + 2v = -3(-7v + 3) + -3v Combine like terms: -10 + -1 = -11 -11 + 2v = -3(-7v + 3) + -3v Reorder the terms: -11 + 2v = -3(3 + -7v) + -3v -11 + 2v = (3 * -3 + -7v * -3) + -3v -11 + 2v = (-9 + 21v) + -3v Combine like terms: 21v + -3v = 18v -11 + 2v = -9 + 18v Solving -11 + 2v = -9 + 18v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-18v' to each side of the equation. -11 + 2v + -18v = -9 + 18v + -18v Combine like terms: 2v + -18v = -16v -11 + -16v = -9 + 18v + -18v Combine like terms: 18v + -18v = 0 -11 + -16v = -9 + 0 -11 + -16v = -9 Add '11' to each side of the equation. -11 + 11 + -16v = -9 + 11 Combine like terms: -11 + 11 = 0 0 + -16v = -9 + 11 -16v = -9 + 11 Combine like terms: -9 + 11 = 2 -16v = 2 Divide each side by '-16'. v = -0.125 Simplifying v = -0.125
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