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Simplifying 30 = -5v + 3(v + 6) Reorder the terms: 30 = -5v + 3(6 + v) 30 = -5v + (6 * 3 + v * 3) 30 = -5v + (18 + 3v) Reorder the terms: 30 = 18 + -5v + 3v Combine like terms: -5v + 3v = -2v 30 = 18 + -2v Solving 30 = 18 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 30 + 2v = 18 + -2v + 2v Combine like terms: -2v + 2v = 0 30 + 2v = 18 + 0 30 + 2v = 18 Add '-30' to each side of the equation. 30 + -30 + 2v = 18 + -30 Combine like terms: 30 + -30 = 0 0 + 2v = 18 + -30 2v = 18 + -30 Combine like terms: 18 + -30 = -12 2v = -12 Divide each side by '2'. v = -6 Simplifying v = -6
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