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Simplifying 140 = 7(v + 5) Reorder the terms: 140 = 7(5 + v) 140 = (5 * 7 + v * 7) 140 = (35 + 7v) Solving 140 = 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. 140 + -7v = 35 + 7v + -7v Combine like terms: 7v + -7v = 0 140 + -7v = 35 + 0 140 + -7v = 35 Add '-140' to each side of the equation. 140 + -140 + -7v = 35 + -140 Combine like terms: 140 + -140 = 0 0 + -7v = 35 + -140 -7v = 35 + -140 Combine like terms: 35 + -140 = -105 -7v = -105 Divide each side by '-7'. v = 15 Simplifying v = 15
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