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Simplifying 3v + 12 = 6(v + 3) Reorder the terms: 12 + 3v = 6(v + 3) Reorder the terms: 12 + 3v = 6(3 + v) 12 + 3v = (3 * 6 + v * 6) 12 + 3v = (18 + 6v) Solving 12 + 3v = 18 + 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. 12 + 3v + -6v = 18 + 6v + -6v Combine like terms: 3v + -6v = -3v 12 + -3v = 18 + 6v + -6v Combine like terms: 6v + -6v = 0 12 + -3v = 18 + 0 12 + -3v = 18 Add '-12' to each side of the equation. 12 + -12 + -3v = 18 + -12 Combine like terms: 12 + -12 = 0 0 + -3v = 18 + -12 -3v = 18 + -12 Combine like terms: 18 + -12 = 6 -3v = 6 Divide each side by '-3'. v = -2 Simplifying v = -2
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