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Simplifying -24 = 8v + 2(v + 3) Reorder the terms: -24 = 8v + 2(3 + v) -24 = 8v + (3 * 2 + v * 2) -24 = 8v + (6 + 2v) Reorder the terms: -24 = 6 + 8v + 2v Combine like terms: 8v + 2v = 10v -24 = 6 + 10v Solving -24 = 6 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. -24 + -10v = 6 + 10v + -10v Combine like terms: 10v + -10v = 0 -24 + -10v = 6 + 0 -24 + -10v = 6 Add '24' to each side of the equation. -24 + 24 + -10v = 6 + 24 Combine like terms: -24 + 24 = 0 0 + -10v = 6 + 24 -10v = 6 + 24 Combine like terms: 6 + 24 = 30 -10v = 30 Divide each side by '-10'. v = -3 Simplifying v = -3
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