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Simplifying 8v + 7 = 7(v + 2) Reorder the terms: 7 + 8v = 7(v + 2) Reorder the terms: 7 + 8v = 7(2 + v) 7 + 8v = (2 * 7 + v * 7) 7 + 8v = (14 + 7v) Solving 7 + 8v = 14 + 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. 7 + 8v + -7v = 14 + 7v + -7v Combine like terms: 8v + -7v = 1v 7 + 1v = 14 + 7v + -7v Combine like terms: 7v + -7v = 0 7 + 1v = 14 + 0 7 + 1v = 14 Add '-7' to each side of the equation. 7 + -7 + 1v = 14 + -7 Combine like terms: 7 + -7 = 0 0 + 1v = 14 + -7 1v = 14 + -7 Combine like terms: 14 + -7 = 7 1v = 7 Divide each side by '1'. v = 7 Simplifying v = 7
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