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Simplifying 7(v + 5) = 2v + 15 Reorder the terms: 7(5 + v) = 2v + 15 (5 * 7 + v * 7) = 2v + 15 (35 + 7v) = 2v + 15 Reorder the terms: 35 + 7v = 15 + 2v Solving 35 + 7v = 15 + 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. 35 + 7v + -2v = 15 + 2v + -2v Combine like terms: 7v + -2v = 5v 35 + 5v = 15 + 2v + -2v Combine like terms: 2v + -2v = 0 35 + 5v = 15 + 0 35 + 5v = 15 Add '-35' to each side of the equation. 35 + -35 + 5v = 15 + -35 Combine like terms: 35 + -35 = 0 0 + 5v = 15 + -35 5v = 15 + -35 Combine like terms: 15 + -35 = -20 5v = -20 Divide each side by '5'. v = -4 Simplifying v = -4
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