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Simplifying 5 = 3v + 7(v + 5) Reorder the terms: 5 = 3v + 7(5 + v) 5 = 3v + (5 * 7 + v * 7) 5 = 3v + (35 + 7v) Reorder the terms: 5 = 35 + 3v + 7v Combine like terms: 3v + 7v = 10v 5 = 35 + 10v Solving 5 = 35 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. 5 + -10v = 35 + 10v + -10v Combine like terms: 10v + -10v = 0 5 + -10v = 35 + 0 5 + -10v = 35 Add '-5' to each side of the equation. 5 + -5 + -10v = 35 + -5 Combine like terms: 5 + -5 = 0 0 + -10v = 35 + -5 -10v = 35 + -5 Combine like terms: 35 + -5 = 30 -10v = 30 Divide each side by '-10'. v = -3 Simplifying v = -3
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