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Simplifying 2(v + -9) + -3 = -3(-8v + 6) + -4v Reorder the terms: 2(-9 + v) + -3 = -3(-8v + 6) + -4v (-9 * 2 + v * 2) + -3 = -3(-8v + 6) + -4v (-18 + 2v) + -3 = -3(-8v + 6) + -4v Reorder the terms: -18 + -3 + 2v = -3(-8v + 6) + -4v Combine like terms: -18 + -3 = -21 -21 + 2v = -3(-8v + 6) + -4v Reorder the terms: -21 + 2v = -3(6 + -8v) + -4v -21 + 2v = (6 * -3 + -8v * -3) + -4v -21 + 2v = (-18 + 24v) + -4v Combine like terms: 24v + -4v = 20v -21 + 2v = -18 + 20v Solving -21 + 2v = -18 + 20v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-20v' to each side of the equation. -21 + 2v + -20v = -18 + 20v + -20v Combine like terms: 2v + -20v = -18v -21 + -18v = -18 + 20v + -20v Combine like terms: 20v + -20v = 0 -21 + -18v = -18 + 0 -21 + -18v = -18 Add '21' to each side of the equation. -21 + 21 + -18v = -18 + 21 Combine like terms: -21 + 21 = 0 0 + -18v = -18 + 21 -18v = -18 + 21 Combine like terms: -18 + 21 = 3 -18v = 3 Divide each side by '-18'. v = -0.1666666667 Simplifying v = -0.1666666667
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