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Simplifying 6 = 9(v + 12) + -7v Reorder the terms: 6 = 9(12 + v) + -7v 6 = (12 * 9 + v * 9) + -7v 6 = (108 + 9v) + -7v Combine like terms: 9v + -7v = 2v 6 = 108 + 2v Solving 6 = 108 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 6 + -2v = 108 + 2v + -2v Combine like terms: 2v + -2v = 0 6 + -2v = 108 + 0 6 + -2v = 108 Add '-6' to each side of the equation. 6 + -6 + -2v = 108 + -6 Combine like terms: 6 + -6 = 0 0 + -2v = 108 + -6 -2v = 108 + -6 Combine like terms: 108 + -6 = 102 -2v = 102 Divide each side by '-2'. v = -51 Simplifying v = -51
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