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Simplifying 2(6v + 7) = 10(v + 8) Reorder the terms: 2(7 + 6v) = 10(v + 8) (7 * 2 + 6v * 2) = 10(v + 8) (14 + 12v) = 10(v + 8) Reorder the terms: 14 + 12v = 10(8 + v) 14 + 12v = (8 * 10 + v * 10) 14 + 12v = (80 + 10v) Solving 14 + 12v = 80 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. 14 + 12v + -10v = 80 + 10v + -10v Combine like terms: 12v + -10v = 2v 14 + 2v = 80 + 10v + -10v Combine like terms: 10v + -10v = 0 14 + 2v = 80 + 0 14 + 2v = 80 Add '-14' to each side of the equation. 14 + -14 + 2v = 80 + -14 Combine like terms: 14 + -14 = 0 0 + 2v = 80 + -14 2v = 80 + -14 Combine like terms: 80 + -14 = 66 2v = 66 Divide each side by '2'. v = 33 Simplifying v = 33
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