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Simplifying -8(v + -3) = 24 + 2v Reorder the terms: -8(-3 + v) = 24 + 2v (-3 * -8 + v * -8) = 24 + 2v (24 + -8v) = 24 + 2v Add '-24' to each side of the equation. 24 + -24 + -8v = 24 + -24 + 2v Combine like terms: 24 + -24 = 0 0 + -8v = 24 + -24 + 2v -8v = 24 + -24 + 2v Combine like terms: 24 + -24 = 0 -8v = 0 + 2v -8v = 2v Solving -8v = 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. -8v + -2v = 2v + -2v Combine like terms: -8v + -2v = -10v -10v = 2v + -2v Combine like terms: 2v + -2v = 0 -10v = 0 Divide each side by '-10'. v = 0.0 Simplifying v = 0.0
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