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Simplifying -32 = -6v + 8(v + -6) Reorder the terms: -32 = -6v + 8(-6 + v) -32 = -6v + (-6 * 8 + v * 8) -32 = -6v + (-48 + 8v) Reorder the terms: -32 = -48 + -6v + 8v Combine like terms: -6v + 8v = 2v -32 = -48 + 2v Solving -32 = -48 + 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 + -2v = -48 + 2v + -2v Combine like terms: 2v + -2v = 0 -32 + -2v = -48 + 0 -32 + -2v = -48 Add '32' to each side of the equation. -32 + 32 + -2v = -48 + 32 Combine like terms: -32 + 32 = 0 0 + -2v = -48 + 32 -2v = -48 + 32 Combine like terms: -48 + 32 = -16 -2v = -16 Divide each side by '-2'. v = 8 Simplifying v = 8
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