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Simplifying 6(5v + 2) = -20 + -2v Reorder the terms: 6(2 + 5v) = -20 + -2v (2 * 6 + 5v * 6) = -20 + -2v (12 + 30v) = -20 + -2v Solving 12 + 30v = -20 + -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. 12 + 30v + 2v = -20 + -2v + 2v Combine like terms: 30v + 2v = 32v 12 + 32v = -20 + -2v + 2v Combine like terms: -2v + 2v = 0 12 + 32v = -20 + 0 12 + 32v = -20 Add '-12' to each side of the equation. 12 + -12 + 32v = -20 + -12 Combine like terms: 12 + -12 = 0 0 + 32v = -20 + -12 32v = -20 + -12 Combine like terms: -20 + -12 = -32 32v = -32 Divide each side by '32'. v = -1 Simplifying v = -1
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