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Simplifying 2(4v + 3) + -3v = 13 + -2v Reorder the terms: 2(3 + 4v) + -3v = 13 + -2v (3 * 2 + 4v * 2) + -3v = 13 + -2v (6 + 8v) + -3v = 13 + -2v Combine like terms: 8v + -3v = 5v 6 + 5v = 13 + -2v Solving 6 + 5v = 13 + -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. 6 + 5v + 2v = 13 + -2v + 2v Combine like terms: 5v + 2v = 7v 6 + 7v = 13 + -2v + 2v Combine like terms: -2v + 2v = 0 6 + 7v = 13 + 0 6 + 7v = 13 Add '-6' to each side of the equation. 6 + -6 + 7v = 13 + -6 Combine like terms: 6 + -6 = 0 0 + 7v = 13 + -6 7v = 13 + -6 Combine like terms: 13 + -6 = 7 7v = 7 Divide each side by '7'. v = 1 Simplifying v = 1
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