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Simplifying 3(v + -3) + -3 = -3(-7v + 6) + -4v Reorder the terms: 3(-3 + v) + -3 = -3(-7v + 6) + -4v (-3 * 3 + v * 3) + -3 = -3(-7v + 6) + -4v (-9 + 3v) + -3 = -3(-7v + 6) + -4v Reorder the terms: -9 + -3 + 3v = -3(-7v + 6) + -4v Combine like terms: -9 + -3 = -12 -12 + 3v = -3(-7v + 6) + -4v Reorder the terms: -12 + 3v = -3(6 + -7v) + -4v -12 + 3v = (6 * -3 + -7v * -3) + -4v -12 + 3v = (-18 + 21v) + -4v Combine like terms: 21v + -4v = 17v -12 + 3v = -18 + 17v Solving -12 + 3v = -18 + 17v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-17v' to each side of the equation. -12 + 3v + -17v = -18 + 17v + -17v Combine like terms: 3v + -17v = -14v -12 + -14v = -18 + 17v + -17v Combine like terms: 17v + -17v = 0 -12 + -14v = -18 + 0 -12 + -14v = -18 Add '12' to each side of the equation. -12 + 12 + -14v = -18 + 12 Combine like terms: -12 + 12 = 0 0 + -14v = -18 + 12 -14v = -18 + 12 Combine like terms: -18 + 12 = -6 -14v = -6 Divide each side by '-14'. v = 0.4285714286 Simplifying v = 0.4285714286
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