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Simplifying 32 = 3(v + -6) + -8v Reorder the terms: 32 = 3(-6 + v) + -8v 32 = (-6 * 3 + v * 3) + -8v 32 = (-18 + 3v) + -8v Combine like terms: 3v + -8v = -5v 32 = -18 + -5v Solving 32 = -18 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 32 + 5v = -18 + -5v + 5v Combine like terms: -5v + 5v = 0 32 + 5v = -18 + 0 32 + 5v = -18 Add '-32' to each side of the equation. 32 + -32 + 5v = -18 + -32 Combine like terms: 32 + -32 = 0 0 + 5v = -18 + -32 5v = -18 + -32 Combine like terms: -18 + -32 = -50 5v = -50 Divide each side by '5'. v = -10 Simplifying v = -10
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