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Simplifying 5(4 + v) = 14 + 6v (4 * 5 + v * 5) = 14 + 6v (20 + 5v) = 14 + 6v Solving 20 + 5v = 14 + 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. 20 + 5v + -6v = 14 + 6v + -6v Combine like terms: 5v + -6v = -1v 20 + -1v = 14 + 6v + -6v Combine like terms: 6v + -6v = 0 20 + -1v = 14 + 0 20 + -1v = 14 Add '-20' to each side of the equation. 20 + -20 + -1v = 14 + -20 Combine like terms: 20 + -20 = 0 0 + -1v = 14 + -20 -1v = 14 + -20 Combine like terms: 14 + -20 = -6 -1v = -6 Divide each side by '-1'. v = 6 Simplifying v = 6
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