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Simplifying 4(v + -3) + -2 = -3(-7v + 2) + -3v Reorder the terms: 4(-3 + v) + -2 = -3(-7v + 2) + -3v (-3 * 4 + v * 4) + -2 = -3(-7v + 2) + -3v (-12 + 4v) + -2 = -3(-7v + 2) + -3v Reorder the terms: -12 + -2 + 4v = -3(-7v + 2) + -3v Combine like terms: -12 + -2 = -14 -14 + 4v = -3(-7v + 2) + -3v Reorder the terms: -14 + 4v = -3(2 + -7v) + -3v -14 + 4v = (2 * -3 + -7v * -3) + -3v -14 + 4v = (-6 + 21v) + -3v Combine like terms: 21v + -3v = 18v -14 + 4v = -6 + 18v Solving -14 + 4v = -6 + 18v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-18v' to each side of the equation. -14 + 4v + -18v = -6 + 18v + -18v Combine like terms: 4v + -18v = -14v -14 + -14v = -6 + 18v + -18v Combine like terms: 18v + -18v = 0 -14 + -14v = -6 + 0 -14 + -14v = -6 Add '14' to each side of the equation. -14 + 14 + -14v = -6 + 14 Combine like terms: -14 + 14 = 0 0 + -14v = -6 + 14 -14v = -6 + 14 Combine like terms: -6 + 14 = 8 -14v = 8 Divide each side by '-14'. v = -0.5714285714 Simplifying v = -0.5714285714
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