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Simplifying 5v + 31 = 7(v + 5) Reorder the terms: 31 + 5v = 7(v + 5) Reorder the terms: 31 + 5v = 7(5 + v) 31 + 5v = (5 * 7 + v * 7) 31 + 5v = (35 + 7v) Solving 31 + 5v = 35 + 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. 31 + 5v + -7v = 35 + 7v + -7v Combine like terms: 5v + -7v = -2v 31 + -2v = 35 + 7v + -7v Combine like terms: 7v + -7v = 0 31 + -2v = 35 + 0 31 + -2v = 35 Add '-31' to each side of the equation. 31 + -31 + -2v = 35 + -31 Combine like terms: 31 + -31 = 0 0 + -2v = 35 + -31 -2v = 35 + -31 Combine like terms: 35 + -31 = 4 -2v = 4 Divide each side by '-2'. v = -2 Simplifying v = -2
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