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Simplifying -2(v + 8) = 8v + 14 Reorder the terms: -2(8 + v) = 8v + 14 (8 * -2 + v * -2) = 8v + 14 (-16 + -2v) = 8v + 14 Reorder the terms: -16 + -2v = 14 + 8v Solving -16 + -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. -16 + -2v + -8v = 14 + 8v + -8v Combine like terms: -2v + -8v = -10v -16 + -10v = 14 + 8v + -8v Combine like terms: 8v + -8v = 0 -16 + -10v = 14 + 0 -16 + -10v = 14 Add '16' to each side of the equation. -16 + 16 + -10v = 14 + 16 Combine like terms: -16 + 16 = 0 0 + -10v = 14 + 16 -10v = 14 + 16 Combine like terms: 14 + 16 = 30 -10v = 30 Divide each side by '-10'. v = -3 Simplifying v = -3
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