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Simplifying 4(v + 5) = -2(9v + -2) + 8v Reorder the terms: 4(5 + v) = -2(9v + -2) + 8v (5 * 4 + v * 4) = -2(9v + -2) + 8v (20 + 4v) = -2(9v + -2) + 8v Reorder the terms: 20 + 4v = -2(-2 + 9v) + 8v 20 + 4v = (-2 * -2 + 9v * -2) + 8v 20 + 4v = (4 + -18v) + 8v Combine like terms: -18v + 8v = -10v 20 + 4v = 4 + -10v Solving 20 + 4v = 4 + -10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '10v' to each side of the equation. 20 + 4v + 10v = 4 + -10v + 10v Combine like terms: 4v + 10v = 14v 20 + 14v = 4 + -10v + 10v Combine like terms: -10v + 10v = 0 20 + 14v = 4 + 0 20 + 14v = 4 Add '-20' to each side of the equation. 20 + -20 + 14v = 4 + -20 Combine like terms: 20 + -20 = 0 0 + 14v = 4 + -20 14v = 4 + -20 Combine like terms: 4 + -20 = -16 14v = -16 Divide each side by '14'. v = -1.142857143 Simplifying v = -1.142857143
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