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Simplifying -12(v + 3) = -54 + -9v Reorder the terms: -12(3 + v) = -54 + -9v (3 * -12 + v * -12) = -54 + -9v (-36 + -12v) = -54 + -9v Solving -36 + -12v = -54 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. -36 + -12v + 9v = -54 + -9v + 9v Combine like terms: -12v + 9v = -3v -36 + -3v = -54 + -9v + 9v Combine like terms: -9v + 9v = 0 -36 + -3v = -54 + 0 -36 + -3v = -54 Add '36' to each side of the equation. -36 + 36 + -3v = -54 + 36 Combine like terms: -36 + 36 = 0 0 + -3v = -54 + 36 -3v = -54 + 36 Combine like terms: -54 + 36 = -18 -3v = -18 Divide each side by '-3'. v = 6 Simplifying v = 6
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