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Simplifying 6(v + 8) + -8v = 32 Reorder the terms: 6(8 + v) + -8v = 32 (8 * 6 + v * 6) + -8v = 32 (48 + 6v) + -8v = 32 Combine like terms: 6v + -8v = -2v 48 + -2v = 32 Solving 48 + -2v = 32 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -2v = 32 + -48 Combine like terms: 48 + -48 = 0 0 + -2v = 32 + -48 -2v = 32 + -48 Combine like terms: 32 + -48 = -16 -2v = -16 Divide each side by '-2'. v = 8 Simplifying v = 8
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