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Simplifying -9 + 3v = 6(6v + 4) Reorder the terms: -9 + 3v = 6(4 + 6v) -9 + 3v = (4 * 6 + 6v * 6) -9 + 3v = (24 + 36v) Solving -9 + 3v = 24 + 36v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-36v' to each side of the equation. -9 + 3v + -36v = 24 + 36v + -36v Combine like terms: 3v + -36v = -33v -9 + -33v = 24 + 36v + -36v Combine like terms: 36v + -36v = 0 -9 + -33v = 24 + 0 -9 + -33v = 24 Add '9' to each side of the equation. -9 + 9 + -33v = 24 + 9 Combine like terms: -9 + 9 = 0 0 + -33v = 24 + 9 -33v = 24 + 9 Combine like terms: 24 + 9 = 33 -33v = 33 Divide each side by '-33'. v = -1 Simplifying v = -1
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