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Simplifying -3(-6v + 7) + -2v = 4(v + -1) + -9 Reorder the terms: -3(7 + -6v) + -2v = 4(v + -1) + -9 (7 * -3 + -6v * -3) + -2v = 4(v + -1) + -9 (-21 + 18v) + -2v = 4(v + -1) + -9 Combine like terms: 18v + -2v = 16v -21 + 16v = 4(v + -1) + -9 Reorder the terms: -21 + 16v = 4(-1 + v) + -9 -21 + 16v = (-1 * 4 + v * 4) + -9 -21 + 16v = (-4 + 4v) + -9 Reorder the terms: -21 + 16v = -4 + -9 + 4v Combine like terms: -4 + -9 = -13 -21 + 16v = -13 + 4v Solving -21 + 16v = -13 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -21 + 16v + -4v = -13 + 4v + -4v Combine like terms: 16v + -4v = 12v -21 + 12v = -13 + 4v + -4v Combine like terms: 4v + -4v = 0 -21 + 12v = -13 + 0 -21 + 12v = -13 Add '21' to each side of the equation. -21 + 21 + 12v = -13 + 21 Combine like terms: -21 + 21 = 0 0 + 12v = -13 + 21 12v = -13 + 21 Combine like terms: -13 + 21 = 8 12v = 8 Divide each side by '12'. v = 0.6666666667 Simplifying v = 0.6666666667
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