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Simplifying 8(v + -4) = 2v + -14 Reorder the terms: 8(-4 + v) = 2v + -14 (-4 * 8 + v * 8) = 2v + -14 (-32 + 8v) = 2v + -14 Reorder the terms: -32 + 8v = -14 + 2v Solving -32 + 8v = -14 + 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. -32 + 8v + -2v = -14 + 2v + -2v Combine like terms: 8v + -2v = 6v -32 + 6v = -14 + 2v + -2v Combine like terms: 2v + -2v = 0 -32 + 6v = -14 + 0 -32 + 6v = -14 Add '32' to each side of the equation. -32 + 32 + 6v = -14 + 32 Combine like terms: -32 + 32 = 0 0 + 6v = -14 + 32 6v = -14 + 32 Combine like terms: -14 + 32 = 18 6v = 18 Divide each side by '6'. v = 3 Simplifying v = 3
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