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Simplifying 15 + -5v = -1(2v + -6) Reorder the terms: 15 + -5v = -1(-6 + 2v) 15 + -5v = (-6 * -1 + 2v * -1) 15 + -5v = (6 + -2v) Solving 15 + -5v = 6 + -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. 15 + -5v + 2v = 6 + -2v + 2v Combine like terms: -5v + 2v = -3v 15 + -3v = 6 + -2v + 2v Combine like terms: -2v + 2v = 0 15 + -3v = 6 + 0 15 + -3v = 6 Add '-15' to each side of the equation. 15 + -15 + -3v = 6 + -15 Combine like terms: 15 + -15 = 0 0 + -3v = 6 + -15 -3v = 6 + -15 Combine like terms: 6 + -15 = -9 -3v = -9 Divide each side by '-3'. v = 3 Simplifying v = 3
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