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Simplifying 9v + -36 = -9(v + -8) Reorder the terms: -36 + 9v = -9(v + -8) Reorder the terms: -36 + 9v = -9(-8 + v) -36 + 9v = (-8 * -9 + v * -9) -36 + 9v = (72 + -9v) Solving -36 + 9v = 72 + -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. -36 + 9v + 9v = 72 + -9v + 9v Combine like terms: 9v + 9v = 18v -36 + 18v = 72 + -9v + 9v Combine like terms: -9v + 9v = 0 -36 + 18v = 72 + 0 -36 + 18v = 72 Add '36' to each side of the equation. -36 + 36 + 18v = 72 + 36 Combine like terms: -36 + 36 = 0 0 + 18v = 72 + 36 18v = 72 + 36 Combine like terms: 72 + 36 = 108 18v = 108 Divide each side by '18'. v = 6 Simplifying v = 6
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