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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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