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Simplifying 8(v + -3) = -8v + 40 Reorder the terms: 8(-3 + v) = -8v + 40 (-3 * 8 + v * 8) = -8v + 40 (-24 + 8v) = -8v + 40 Reorder the terms: -24 + 8v = 40 + -8v Solving -24 + 8v = 40 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -24 + 8v + 8v = 40 + -8v + 8v Combine like terms: 8v + 8v = 16v -24 + 16v = 40 + -8v + 8v Combine like terms: -8v + 8v = 0 -24 + 16v = 40 + 0 -24 + 16v = 40 Add '24' to each side of the equation. -24 + 24 + 16v = 40 + 24 Combine like terms: -24 + 24 = 0 0 + 16v = 40 + 24 16v = 40 + 24 Combine like terms: 40 + 24 = 64 16v = 64 Divide each side by '16'. v = 4 Simplifying v = 4
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