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Simplifying 2v + 12 = -5(v + -8) Reorder the terms: 12 + 2v = -5(v + -8) Reorder the terms: 12 + 2v = -5(-8 + v) 12 + 2v = (-8 * -5 + v * -5) 12 + 2v = (40 + -5v) Solving 12 + 2v = 40 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 12 + 2v + 5v = 40 + -5v + 5v Combine like terms: 2v + 5v = 7v 12 + 7v = 40 + -5v + 5v Combine like terms: -5v + 5v = 0 12 + 7v = 40 + 0 12 + 7v = 40 Add '-12' to each side of the equation. 12 + -12 + 7v = 40 + -12 Combine like terms: 12 + -12 = 0 0 + 7v = 40 + -12 7v = 40 + -12 Combine like terms: 40 + -12 = 28 7v = 28 Divide each side by '7'. v = 4 Simplifying v = 4
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