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Simplifying 2(v + -4) = 8v + -14 Reorder the terms: 2(-4 + v) = 8v + -14 (-4 * 2 + v * 2) = 8v + -14 (-8 + 2v) = 8v + -14 Reorder the terms: -8 + 2v = -14 + 8v Solving -8 + 2v = -14 + 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. -8 + 2v + -8v = -14 + 8v + -8v Combine like terms: 2v + -8v = -6v -8 + -6v = -14 + 8v + -8v Combine like terms: 8v + -8v = 0 -8 + -6v = -14 + 0 -8 + -6v = -14 Add '8' to each side of the equation. -8 + 8 + -6v = -14 + 8 Combine like terms: -8 + 8 = 0 0 + -6v = -14 + 8 -6v = -14 + 8 Combine like terms: -14 + 8 = -6 -6v = -6 Divide each side by '-6'. v = 1 Simplifying v = 1
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