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Simplifying 5(8v + -6) = 8 + 2v Reorder the terms: 5(-6 + 8v) = 8 + 2v (-6 * 5 + 8v * 5) = 8 + 2v (-30 + 40v) = 8 + 2v Solving -30 + 40v = 8 + 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. -30 + 40v + -2v = 8 + 2v + -2v Combine like terms: 40v + -2v = 38v -30 + 38v = 8 + 2v + -2v Combine like terms: 2v + -2v = 0 -30 + 38v = 8 + 0 -30 + 38v = 8 Add '30' to each side of the equation. -30 + 30 + 38v = 8 + 30 Combine like terms: -30 + 30 = 0 0 + 38v = 8 + 30 38v = 8 + 30 Combine like terms: 8 + 30 = 38 38v = 38 Divide each side by '38'. v = 1 Simplifying v = 1
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