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Simplifying 6(v + -4) + -2 = -7(-4v + 2) + -4v Reorder the terms: 6(-4 + v) + -2 = -7(-4v + 2) + -4v (-4 * 6 + v * 6) + -2 = -7(-4v + 2) + -4v (-24 + 6v) + -2 = -7(-4v + 2) + -4v Reorder the terms: -24 + -2 + 6v = -7(-4v + 2) + -4v Combine like terms: -24 + -2 = -26 -26 + 6v = -7(-4v + 2) + -4v Reorder the terms: -26 + 6v = -7(2 + -4v) + -4v -26 + 6v = (2 * -7 + -4v * -7) + -4v -26 + 6v = (-14 + 28v) + -4v Combine like terms: 28v + -4v = 24v -26 + 6v = -14 + 24v Solving -26 + 6v = -14 + 24v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-24v' to each side of the equation. -26 + 6v + -24v = -14 + 24v + -24v Combine like terms: 6v + -24v = -18v -26 + -18v = -14 + 24v + -24v Combine like terms: 24v + -24v = 0 -26 + -18v = -14 + 0 -26 + -18v = -14 Add '26' to each side of the equation. -26 + 26 + -18v = -14 + 26 Combine like terms: -26 + 26 = 0 0 + -18v = -14 + 26 -18v = -14 + 26 Combine like terms: -14 + 26 = 12 -18v = 12 Divide each side by '-18'. v = -0.6666666667 Simplifying v = -0.6666666667
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