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Simplifying 6(v + -6) = -3v + 18 Reorder the terms: 6(-6 + v) = -3v + 18 (-6 * 6 + v * 6) = -3v + 18 (-36 + 6v) = -3v + 18 Reorder the terms: -36 + 6v = 18 + -3v Solving -36 + 6v = 18 + -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. -36 + 6v + 3v = 18 + -3v + 3v Combine like terms: 6v + 3v = 9v -36 + 9v = 18 + -3v + 3v Combine like terms: -3v + 3v = 0 -36 + 9v = 18 + 0 -36 + 9v = 18 Add '36' to each side of the equation. -36 + 36 + 9v = 18 + 36 Combine like terms: -36 + 36 = 0 0 + 9v = 18 + 36 9v = 18 + 36 Combine like terms: 18 + 36 = 54 9v = 54 Divide each side by '9'. v = 6 Simplifying v = 6
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