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Simplifying -3(v + 2) = -4(5v + -3) + 3v Reorder the terms: -3(2 + v) = -4(5v + -3) + 3v (2 * -3 + v * -3) = -4(5v + -3) + 3v (-6 + -3v) = -4(5v + -3) + 3v Reorder the terms: -6 + -3v = -4(-3 + 5v) + 3v -6 + -3v = (-3 * -4 + 5v * -4) + 3v -6 + -3v = (12 + -20v) + 3v Combine like terms: -20v + 3v = -17v -6 + -3v = 12 + -17v Solving -6 + -3v = 12 + -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. -6 + -3v + 17v = 12 + -17v + 17v Combine like terms: -3v + 17v = 14v -6 + 14v = 12 + -17v + 17v Combine like terms: -17v + 17v = 0 -6 + 14v = 12 + 0 -6 + 14v = 12 Add '6' to each side of the equation. -6 + 6 + 14v = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 14v = 12 + 6 14v = 12 + 6 Combine like terms: 12 + 6 = 18 14v = 18 Divide each side by '14'. v = 1.285714286 Simplifying v = 1.285714286
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