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Simplifying 3(v + 5) = 7v + 15 Reorder the terms: 3(5 + v) = 7v + 15 (5 * 3 + v * 3) = 7v + 15 (15 + 3v) = 7v + 15 Reorder the terms: 15 + 3v = 15 + 7v Add '-15' to each side of the equation. 15 + -15 + 3v = 15 + -15 + 7v Combine like terms: 15 + -15 = 0 0 + 3v = 15 + -15 + 7v 3v = 15 + -15 + 7v Combine like terms: 15 + -15 = 0 3v = 0 + 7v 3v = 7v Solving 3v = 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 3v + -7v = 7v + -7v Combine like terms: 3v + -7v = -4v -4v = 7v + -7v Combine like terms: 7v + -7v = 0 -4v = 0 Divide each side by '-4'. v = 0 Simplifying v = 0
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