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Simplifying -2v + 7(v + 6) = 12 Reorder the terms: -2v + 7(6 + v) = 12 -2v + (6 * 7 + v * 7) = 12 -2v + (42 + 7v) = 12 Reorder the terms: 42 + -2v + 7v = 12 Combine like terms: -2v + 7v = 5v 42 + 5v = 12 Solving 42 + 5v = 12 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 5v = 12 + -42 Combine like terms: 42 + -42 = 0 0 + 5v = 12 + -42 5v = 12 + -42 Combine like terms: 12 + -42 = -30 5v = -30 Divide each side by '5'. v = -6 Simplifying v = -6
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