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Simplifying 15 + -4v = 2(v + 3) + 3 Reorder the terms: 15 + -4v = 2(3 + v) + 3 15 + -4v = (3 * 2 + v * 2) + 3 15 + -4v = (6 + 2v) + 3 Reorder the terms: 15 + -4v = 6 + 3 + 2v Combine like terms: 6 + 3 = 9 15 + -4v = 9 + 2v Solving 15 + -4v = 9 + 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 + -4v + -2v = 9 + 2v + -2v Combine like terms: -4v + -2v = -6v 15 + -6v = 9 + 2v + -2v Combine like terms: 2v + -2v = 0 15 + -6v = 9 + 0 15 + -6v = 9 Add '-15' to each side of the equation. 15 + -15 + -6v = 9 + -15 Combine like terms: 15 + -15 = 0 0 + -6v = 9 + -15 -6v = 9 + -15 Combine like terms: 9 + -15 = -6 -6v = -6 Divide each side by '-6'. v = 1 Simplifying v = 1
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