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Simplifying -8(v + 3) = 2v + -4 Reorder the terms: -8(3 + v) = 2v + -4 (3 * -8 + v * -8) = 2v + -4 (-24 + -8v) = 2v + -4 Reorder the terms: -24 + -8v = -4 + 2v Solving -24 + -8v = -4 + 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 = -4 + 2v + -2v Combine like terms: -8v + -2v = -10v -24 + -10v = -4 + 2v + -2v Combine like terms: 2v + -2v = 0 -24 + -10v = -4 + 0 -24 + -10v = -4 Add '24' to each side of the equation. -24 + 24 + -10v = -4 + 24 Combine like terms: -24 + 24 = 0 0 + -10v = -4 + 24 -10v = -4 + 24 Combine like terms: -4 + 24 = 20 -10v = 20 Divide each side by '-10'. v = -2 Simplifying v = -2
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