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Simplifying 1 + 2(2v + -7) = -3(3v + -1) + v Reorder the terms: 1 + 2(-7 + 2v) = -3(3v + -1) + v 1 + (-7 * 2 + 2v * 2) = -3(3v + -1) + v 1 + (-14 + 4v) = -3(3v + -1) + v Combine like terms: 1 + -14 = -13 -13 + 4v = -3(3v + -1) + v Reorder the terms: -13 + 4v = -3(-1 + 3v) + v -13 + 4v = (-1 * -3 + 3v * -3) + v -13 + 4v = (3 + -9v) + v Combine like terms: -9v + v = -8v -13 + 4v = 3 + -8v Solving -13 + 4v = 3 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -13 + 4v + 8v = 3 + -8v + 8v Combine like terms: 4v + 8v = 12v -13 + 12v = 3 + -8v + 8v Combine like terms: -8v + 8v = 0 -13 + 12v = 3 + 0 -13 + 12v = 3 Add '13' to each side of the equation. -13 + 13 + 12v = 3 + 13 Combine like terms: -13 + 13 = 0 0 + 12v = 3 + 13 12v = 3 + 13 Combine like terms: 3 + 13 = 16 12v = 16 Divide each side by '12'. v = 1.333333333 Simplifying v = 1.333333333
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