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Simplifying -14 = -6v + 8(v + -4) Reorder the terms: -14 = -6v + 8(-4 + v) -14 = -6v + (-4 * 8 + v * 8) -14 = -6v + (-32 + 8v) Reorder the terms: -14 = -32 + -6v + 8v Combine like terms: -6v + 8v = 2v -14 = -32 + 2v Solving -14 = -32 + 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. -14 + -2v = -32 + 2v + -2v Combine like terms: 2v + -2v = 0 -14 + -2v = -32 + 0 -14 + -2v = -32 Add '14' to each side of the equation. -14 + 14 + -2v = -32 + 14 Combine like terms: -14 + 14 = 0 0 + -2v = -32 + 14 -2v = -32 + 14 Combine like terms: -32 + 14 = -18 -2v = -18 Divide each side by '-2'. v = 9 Simplifying v = 9
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