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Simplifying -9(v + 6) = 3v + -6 Reorder the terms: -9(6 + v) = 3v + -6 (6 * -9 + v * -9) = 3v + -6 (-54 + -9v) = 3v + -6 Reorder the terms: -54 + -9v = -6 + 3v Solving -54 + -9v = -6 + 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. -54 + -9v + -3v = -6 + 3v + -3v Combine like terms: -9v + -3v = -12v -54 + -12v = -6 + 3v + -3v Combine like terms: 3v + -3v = 0 -54 + -12v = -6 + 0 -54 + -12v = -6 Add '54' to each side of the equation. -54 + 54 + -12v = -6 + 54 Combine like terms: -54 + 54 = 0 0 + -12v = -6 + 54 -12v = -6 + 54 Combine like terms: -6 + 54 = 48 -12v = 48 Divide each side by '-12'. v = -4 Simplifying v = -4
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