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Simplifying 3v + -9 = -9(v + -7) Reorder the terms: -9 + 3v = -9(v + -7) Reorder the terms: -9 + 3v = -9(-7 + v) -9 + 3v = (-7 * -9 + v * -9) -9 + 3v = (63 + -9v) Solving -9 + 3v = 63 + -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. -9 + 3v + 9v = 63 + -9v + 9v Combine like terms: 3v + 9v = 12v -9 + 12v = 63 + -9v + 9v Combine like terms: -9v + 9v = 0 -9 + 12v = 63 + 0 -9 + 12v = 63 Add '9' to each side of the equation. -9 + 9 + 12v = 63 + 9 Combine like terms: -9 + 9 = 0 0 + 12v = 63 + 9 12v = 63 + 9 Combine like terms: 63 + 9 = 72 12v = 72 Divide each side by '12'. v = 6 Simplifying v = 6
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