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Simplifying 5(v + 6) = 8v Reorder the terms: 5(6 + v) = 8v (6 * 5 + v * 5) = 8v (30 + 5v) = 8v Solving 30 + 5v = 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 30 + 5v + -8v = 8v + -8v Combine like terms: 5v + -8v = -3v 30 + -3v = 8v + -8v Combine like terms: 8v + -8v = 0 30 + -3v = 0 Add '-30' to each side of the equation. 30 + -30 + -3v = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -3v = 0 + -30 -3v = 0 + -30 Combine like terms: 0 + -30 = -30 -3v = -30 Divide each side by '-3'. v = 10 Simplifying v = 10
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