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Simplifying 72 = 6(v + 5) Reorder the terms: 72 = 6(5 + v) 72 = (5 * 6 + v * 6) 72 = (30 + 6v) Solving 72 = 30 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 72 + -6v = 30 + 6v + -6v Combine like terms: 6v + -6v = 0 72 + -6v = 30 + 0 72 + -6v = 30 Add '-72' to each side of the equation. 72 + -72 + -6v = 30 + -72 Combine like terms: 72 + -72 = 0 0 + -6v = 30 + -72 -6v = 30 + -72 Combine like terms: 30 + -72 = -42 -6v = -42 Divide each side by '-6'. v = 7 Simplifying v = 7
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