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