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Simplifying 9v + 12 = -6(v + -7) Reorder the terms: 12 + 9v = -6(v + -7) Reorder the terms: 12 + 9v = -6(-7 + v) 12 + 9v = (-7 * -6 + v * -6) 12 + 9v = (42 + -6v) Solving 12 + 9v = 42 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 12 + 9v + 6v = 42 + -6v + 6v Combine like terms: 9v + 6v = 15v 12 + 15v = 42 + -6v + 6v Combine like terms: -6v + 6v = 0 12 + 15v = 42 + 0 12 + 15v = 42 Add '-12' to each side of the equation. 12 + -12 + 15v = 42 + -12 Combine like terms: 12 + -12 = 0 0 + 15v = 42 + -12 15v = 42 + -12 Combine like terms: 42 + -12 = 30 15v = 30 Divide each side by '15'. v = 2 Simplifying v = 2
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