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Simplifying 6(3 + 5v) + 2 = 20 + 6v (3 * 6 + 5v * 6) + 2 = 20 + 6v (18 + 30v) + 2 = 20 + 6v Reorder the terms: 18 + 2 + 30v = 20 + 6v Combine like terms: 18 + 2 = 20 20 + 30v = 20 + 6v Add '-20' to each side of the equation. 20 + -20 + 30v = 20 + -20 + 6v Combine like terms: 20 + -20 = 0 0 + 30v = 20 + -20 + 6v 30v = 20 + -20 + 6v Combine like terms: 20 + -20 = 0 30v = 0 + 6v 30v = 6v Solving 30v = 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. 30v + -6v = 6v + -6v Combine like terms: 30v + -6v = 24v 24v = 6v + -6v Combine like terms: 6v + -6v = 0 24v = 0 Divide each side by '24'. v = 0 Simplifying v = 0
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