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Simplifying 3v + -3(v + 12) = 6(3 + 3v) Reorder the terms: 3v + -3(12 + v) = 6(3 + 3v) 3v + (12 * -3 + v * -3) = 6(3 + 3v) 3v + (-36 + -3v) = 6(3 + 3v) Reorder the terms: -36 + 3v + -3v = 6(3 + 3v) Combine like terms: 3v + -3v = 0 -36 + 0 = 6(3 + 3v) -36 = 6(3 + 3v) -36 = (3 * 6 + 3v * 6) -36 = (18 + 18v) Solving -36 = 18 + 18v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-18v' to each side of the equation. -36 + -18v = 18 + 18v + -18v Combine like terms: 18v + -18v = 0 -36 + -18v = 18 + 0 -36 + -18v = 18 Add '36' to each side of the equation. -36 + 36 + -18v = 18 + 36 Combine like terms: -36 + 36 = 0 0 + -18v = 18 + 36 -18v = 18 + 36 Combine like terms: 18 + 36 = 54 -18v = 54 Divide each side by '-18'. v = -3 Simplifying v = -3
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