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Simplifying 9(v + -4) = 3v + 18 Reorder the terms: 9(-4 + v) = 3v + 18 (-4 * 9 + v * 9) = 3v + 18 (-36 + 9v) = 3v + 18 Reorder the terms: -36 + 9v = 18 + 3v Solving -36 + 9v = 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 + 9v + -3v = 18 + 3v + -3v Combine like terms: 9v + -3v = 6v -36 + 6v = 18 + 3v + -3v Combine like terms: 3v + -3v = 0 -36 + 6v = 18 + 0 -36 + 6v = 18 Add '36' to each side of the equation. -36 + 36 + 6v = 18 + 36 Combine like terms: -36 + 36 = 0 0 + 6v = 18 + 36 6v = 18 + 36 Combine like terms: 18 + 36 = 54 6v = 54 Divide each side by '6'. v = 9 Simplifying v = 9
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