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Simplifying -3(-7v + 3) + -9v = 4(v + -1) + -9 Reorder the terms: -3(3 + -7v) + -9v = 4(v + -1) + -9 (3 * -3 + -7v * -3) + -9v = 4(v + -1) + -9 (-9 + 21v) + -9v = 4(v + -1) + -9 Combine like terms: 21v + -9v = 12v -9 + 12v = 4(v + -1) + -9 Reorder the terms: -9 + 12v = 4(-1 + v) + -9 -9 + 12v = (-1 * 4 + v * 4) + -9 -9 + 12v = (-4 + 4v) + -9 Reorder the terms: -9 + 12v = -4 + -9 + 4v Combine like terms: -4 + -9 = -13 -9 + 12v = -13 + 4v Solving -9 + 12v = -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. -9 + 12v + -4v = -13 + 4v + -4v Combine like terms: 12v + -4v = 8v -9 + 8v = -13 + 4v + -4v Combine like terms: 4v + -4v = 0 -9 + 8v = -13 + 0 -9 + 8v = -13 Add '9' to each side of the equation. -9 + 9 + 8v = -13 + 9 Combine like terms: -9 + 9 = 0 0 + 8v = -13 + 9 8v = -13 + 9 Combine like terms: -13 + 9 = -4 8v = -4 Divide each side by '8'. v = -0.5 Simplifying v = -0.5
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