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Simplifying 8v + 24 = -2(v + -7) Reorder the terms: 24 + 8v = -2(v + -7) Reorder the terms: 24 + 8v = -2(-7 + v) 24 + 8v = (-7 * -2 + v * -2) 24 + 8v = (14 + -2v) Solving 24 + 8v = 14 + -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. 24 + 8v + 2v = 14 + -2v + 2v Combine like terms: 8v + 2v = 10v 24 + 10v = 14 + -2v + 2v Combine like terms: -2v + 2v = 0 24 + 10v = 14 + 0 24 + 10v = 14 Add '-24' to each side of the equation. 24 + -24 + 10v = 14 + -24 Combine like terms: 24 + -24 = 0 0 + 10v = 14 + -24 10v = 14 + -24 Combine like terms: 14 + -24 = -10 10v = -10 Divide each side by '10'. v = -1 Simplifying v = -1
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