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Simplifying 3(v + 5) = 5v + 21 Reorder the terms: 3(5 + v) = 5v + 21 (5 * 3 + v * 3) = 5v + 21 (15 + 3v) = 5v + 21 Reorder the terms: 15 + 3v = 21 + 5v Solving 15 + 3v = 21 + 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. 15 + 3v + -5v = 21 + 5v + -5v Combine like terms: 3v + -5v = -2v 15 + -2v = 21 + 5v + -5v Combine like terms: 5v + -5v = 0 15 + -2v = 21 + 0 15 + -2v = 21 Add '-15' to each side of the equation. 15 + -15 + -2v = 21 + -15 Combine like terms: 15 + -15 = 0 0 + -2v = 21 + -15 -2v = 21 + -15 Combine like terms: 21 + -15 = 6 -2v = 6 Divide each side by '-2'. v = -3 Simplifying v = -3
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