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Simplifying 5(3v + 6) = 30 + 5v Reorder the terms: 5(6 + 3v) = 30 + 5v (6 * 5 + 3v * 5) = 30 + 5v (30 + 15v) = 30 + 5v Add '-30' to each side of the equation. 30 + -30 + 15v = 30 + -30 + 5v Combine like terms: 30 + -30 = 0 0 + 15v = 30 + -30 + 5v 15v = 30 + -30 + 5v Combine like terms: 30 + -30 = 0 15v = 0 + 5v 15v = 5v Solving 15v = 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 15v + -5v = 5v + -5v Combine like terms: 15v + -5v = 10v 10v = 5v + -5v Combine like terms: 5v + -5v = 0 10v = 0 Divide each side by '10'. v = 0.0 Simplifying v = 0.0
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