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Simplifying 3(v + -2) + -1 = -5(-2v + 3) + -1v Reorder the terms: 3(-2 + v) + -1 = -5(-2v + 3) + -1v (-2 * 3 + v * 3) + -1 = -5(-2v + 3) + -1v (-6 + 3v) + -1 = -5(-2v + 3) + -1v Reorder the terms: -6 + -1 + 3v = -5(-2v + 3) + -1v Combine like terms: -6 + -1 = -7 -7 + 3v = -5(-2v + 3) + -1v Reorder the terms: -7 + 3v = -5(3 + -2v) + -1v -7 + 3v = (3 * -5 + -2v * -5) + -1v -7 + 3v = (-15 + 10v) + -1v Combine like terms: 10v + -1v = 9v -7 + 3v = -15 + 9v Solving -7 + 3v = -15 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. -7 + 3v + -9v = -15 + 9v + -9v Combine like terms: 3v + -9v = -6v -7 + -6v = -15 + 9v + -9v Combine like terms: 9v + -9v = 0 -7 + -6v = -15 + 0 -7 + -6v = -15 Add '7' to each side of the equation. -7 + 7 + -6v = -15 + 7 Combine like terms: -7 + 7 = 0 0 + -6v = -15 + 7 -6v = -15 + 7 Combine like terms: -15 + 7 = -8 -6v = -8 Divide each side by '-6'. v = 1.333333333 Simplifying v = 1.333333333
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