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Simplifying 12 = -6v + 3(v + 5) Reorder the terms: 12 = -6v + 3(5 + v) 12 = -6v + (5 * 3 + v * 3) 12 = -6v + (15 + 3v) Reorder the terms: 12 = 15 + -6v + 3v Combine like terms: -6v + 3v = -3v 12 = 15 + -3v Solving 12 = 15 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 12 + 3v = 15 + -3v + 3v Combine like terms: -3v + 3v = 0 12 + 3v = 15 + 0 12 + 3v = 15 Add '-12' to each side of the equation. 12 + -12 + 3v = 15 + -12 Combine like terms: 12 + -12 = 0 0 + 3v = 15 + -12 3v = 15 + -12 Combine like terms: 15 + -12 = 3 3v = 3 Divide each side by '3'. v = 1 Simplifying v = 1
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