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Simplifying 72 = 6(5v + 2) Reorder the terms: 72 = 6(2 + 5v) 72 = (2 * 6 + 5v * 6) 72 = (12 + 30v) Solving 72 = 12 + 30v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-30v' to each side of the equation. 72 + -30v = 12 + 30v + -30v Combine like terms: 30v + -30v = 0 72 + -30v = 12 + 0 72 + -30v = 12 Add '-72' to each side of the equation. 72 + -72 + -30v = 12 + -72 Combine like terms: 72 + -72 = 0 0 + -30v = 12 + -72 -30v = 12 + -72 Combine like terms: 12 + -72 = -60 -30v = -60 Divide each side by '-30'. v = 2 Simplifying v = 2
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