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Simplifying 4(v + -1) + -2 = -3(-8v + 8) + -6v Reorder the terms: 4(-1 + v) + -2 = -3(-8v + 8) + -6v (-1 * 4 + v * 4) + -2 = -3(-8v + 8) + -6v (-4 + 4v) + -2 = -3(-8v + 8) + -6v Reorder the terms: -4 + -2 + 4v = -3(-8v + 8) + -6v Combine like terms: -4 + -2 = -6 -6 + 4v = -3(-8v + 8) + -6v Reorder the terms: -6 + 4v = -3(8 + -8v) + -6v -6 + 4v = (8 * -3 + -8v * -3) + -6v -6 + 4v = (-24 + 24v) + -6v Combine like terms: 24v + -6v = 18v -6 + 4v = -24 + 18v Solving -6 + 4v = -24 + 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. -6 + 4v + -18v = -24 + 18v + -18v Combine like terms: 4v + -18v = -14v -6 + -14v = -24 + 18v + -18v Combine like terms: 18v + -18v = 0 -6 + -14v = -24 + 0 -6 + -14v = -24 Add '6' to each side of the equation. -6 + 6 + -14v = -24 + 6 Combine like terms: -6 + 6 = 0 0 + -14v = -24 + 6 -14v = -24 + 6 Combine like terms: -24 + 6 = -18 -14v = -18 Divide each side by '-14'. v = 1.285714286 Simplifying v = 1.285714286
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