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Simplifying 5v + 9 = -2(v + 6) Reorder the terms: 9 + 5v = -2(v + 6) Reorder the terms: 9 + 5v = -2(6 + v) 9 + 5v = (6 * -2 + v * -2) 9 + 5v = (-12 + -2v) Solving 9 + 5v = -12 + -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. 9 + 5v + 2v = -12 + -2v + 2v Combine like terms: 5v + 2v = 7v 9 + 7v = -12 + -2v + 2v Combine like terms: -2v + 2v = 0 9 + 7v = -12 + 0 9 + 7v = -12 Add '-9' to each side of the equation. 9 + -9 + 7v = -12 + -9 Combine like terms: 9 + -9 = 0 0 + 7v = -12 + -9 7v = -12 + -9 Combine like terms: -12 + -9 = -21 7v = -21 Divide each side by '7'. v = -3 Simplifying v = -3
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