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Simplifying -7v + 5 = 3(v + 5) Reorder the terms: 5 + -7v = 3(v + 5) Reorder the terms: 5 + -7v = 3(5 + v) 5 + -7v = (5 * 3 + v * 3) 5 + -7v = (15 + 3v) Solving 5 + -7v = 15 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 5 + -7v + -3v = 15 + 3v + -3v Combine like terms: -7v + -3v = -10v 5 + -10v = 15 + 3v + -3v Combine like terms: 3v + -3v = 0 5 + -10v = 15 + 0 5 + -10v = 15 Add '-5' to each side of the equation. 5 + -5 + -10v = 15 + -5 Combine like terms: 5 + -5 = 0 0 + -10v = 15 + -5 -10v = 15 + -5 Combine like terms: 15 + -5 = 10 -10v = 10 Divide each side by '-10'. v = -1 Simplifying v = -1
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