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Simplifying 2v + 13 = -3(v + -6) Reorder the terms: 13 + 2v = -3(v + -6) Reorder the terms: 13 + 2v = -3(-6 + v) 13 + 2v = (-6 * -3 + v * -3) 13 + 2v = (18 + -3v) Solving 13 + 2v = 18 + -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. 13 + 2v + 3v = 18 + -3v + 3v Combine like terms: 2v + 3v = 5v 13 + 5v = 18 + -3v + 3v Combine like terms: -3v + 3v = 0 13 + 5v = 18 + 0 13 + 5v = 18 Add '-13' to each side of the equation. 13 + -13 + 5v = 18 + -13 Combine like terms: 13 + -13 = 0 0 + 5v = 18 + -13 5v = 18 + -13 Combine like terms: 18 + -13 = 5 5v = 5 Divide each side by '5'. v = 1 Simplifying v = 1
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