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Simplifying 13 = 3(v + 3) + -7v Reorder the terms: 13 = 3(3 + v) + -7v 13 = (3 * 3 + v * 3) + -7v 13 = (9 + 3v) + -7v Combine like terms: 3v + -7v = -4v 13 = 9 + -4v Solving 13 = 9 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 13 + 4v = 9 + -4v + 4v Combine like terms: -4v + 4v = 0 13 + 4v = 9 + 0 13 + 4v = 9 Add '-13' to each side of the equation. 13 + -13 + 4v = 9 + -13 Combine like terms: 13 + -13 = 0 0 + 4v = 9 + -13 4v = 9 + -13 Combine like terms: 9 + -13 = -4 4v = -4 Divide each side by '4'. v = -1 Simplifying v = -1
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