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Simplifying -3(4v + -6) + 4v = 4 + 2(3v + -2) Reorder the terms: -3(-6 + 4v) + 4v = 4 + 2(3v + -2) (-6 * -3 + 4v * -3) + 4v = 4 + 2(3v + -2) (18 + -12v) + 4v = 4 + 2(3v + -2) Combine like terms: -12v + 4v = -8v 18 + -8v = 4 + 2(3v + -2) Reorder the terms: 18 + -8v = 4 + 2(-2 + 3v) 18 + -8v = 4 + (-2 * 2 + 3v * 2) 18 + -8v = 4 + (-4 + 6v) Combine like terms: 4 + -4 = 0 18 + -8v = 0 + 6v 18 + -8v = 6v Solving 18 + -8v = 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 18 + -8v + -6v = 6v + -6v Combine like terms: -8v + -6v = -14v 18 + -14v = 6v + -6v Combine like terms: 6v + -6v = 0 18 + -14v = 0 Add '-18' to each side of the equation. 18 + -18 + -14v = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -14v = 0 + -18 -14v = 0 + -18 Combine like terms: 0 + -18 = -18 -14v = -18 Divide each side by '-14'. v = 1.285714286 Simplifying v = 1.285714286
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