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Simplifying -2(v + -6) = 3v + -13 Reorder the terms: -2(-6 + v) = 3v + -13 (-6 * -2 + v * -2) = 3v + -13 (12 + -2v) = 3v + -13 Reorder the terms: 12 + -2v = -13 + 3v Solving 12 + -2v = -13 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 12 + -2v + -3v = -13 + 3v + -3v Combine like terms: -2v + -3v = -5v 12 + -5v = -13 + 3v + -3v Combine like terms: 3v + -3v = 0 12 + -5v = -13 + 0 12 + -5v = -13 Add '-12' to each side of the equation. 12 + -12 + -5v = -13 + -12 Combine like terms: 12 + -12 = 0 0 + -5v = -13 + -12 -5v = -13 + -12 Combine like terms: -13 + -12 = -25 -5v = -25 Divide each side by '-5'. v = 5 Simplifying v = 5
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