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Simplifying 12 = -7v + 5(v + 6) Reorder the terms: 12 = -7v + 5(6 + v) 12 = -7v + (6 * 5 + v * 5) 12 = -7v + (30 + 5v) Reorder the terms: 12 = 30 + -7v + 5v Combine like terms: -7v + 5v = -2v 12 = 30 + -2v Solving 12 = 30 + -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. 12 + 2v = 30 + -2v + 2v Combine like terms: -2v + 2v = 0 12 + 2v = 30 + 0 12 + 2v = 30 Add '-12' to each side of the equation. 12 + -12 + 2v = 30 + -12 Combine like terms: 12 + -12 = 0 0 + 2v = 30 + -12 2v = 30 + -12 Combine like terms: 30 + -12 = 18 2v = 18 Divide each side by '2'. v = 9 Simplifying v = 9
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