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Simplifying 7v + -12 = 2(v + 4) Reorder the terms: -12 + 7v = 2(v + 4) Reorder the terms: -12 + 7v = 2(4 + v) -12 + 7v = (4 * 2 + v * 2) -12 + 7v = (8 + 2v) Solving -12 + 7v = 8 + 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 + 7v + -2v = 8 + 2v + -2v Combine like terms: 7v + -2v = 5v -12 + 5v = 8 + 2v + -2v Combine like terms: 2v + -2v = 0 -12 + 5v = 8 + 0 -12 + 5v = 8 Add '12' to each side of the equation. -12 + 12 + 5v = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 5v = 8 + 12 5v = 8 + 12 Combine like terms: 8 + 12 = 20 5v = 20 Divide each side by '5'. v = 4 Simplifying v = 4
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