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Simplifying 2v + 12 = -7(v + -3) Reorder the terms: 12 + 2v = -7(v + -3) Reorder the terms: 12 + 2v = -7(-3 + v) 12 + 2v = (-3 * -7 + v * -7) 12 + 2v = (21 + -7v) Solving 12 + 2v = 21 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. 12 + 2v + 7v = 21 + -7v + 7v Combine like terms: 2v + 7v = 9v 12 + 9v = 21 + -7v + 7v Combine like terms: -7v + 7v = 0 12 + 9v = 21 + 0 12 + 9v = 21 Add '-12' to each side of the equation. 12 + -12 + 9v = 21 + -12 Combine like terms: 12 + -12 = 0 0 + 9v = 21 + -12 9v = 21 + -12 Combine like terms: 21 + -12 = 9 9v = 9 Divide each side by '9'. v = 1 Simplifying v = 1
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