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Simplifying 4(5 + -2v) + -6v = 4(-7v + -5) + 6v (5 * 4 + -2v * 4) + -6v = 4(-7v + -5) + 6v (20 + -8v) + -6v = 4(-7v + -5) + 6v Combine like terms: -8v + -6v = -14v 20 + -14v = 4(-7v + -5) + 6v Reorder the terms: 20 + -14v = 4(-5 + -7v) + 6v 20 + -14v = (-5 * 4 + -7v * 4) + 6v 20 + -14v = (-20 + -28v) + 6v Combine like terms: -28v + 6v = -22v 20 + -14v = -20 + -22v Solving 20 + -14v = -20 + -22v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '22v' to each side of the equation. 20 + -14v + 22v = -20 + -22v + 22v Combine like terms: -14v + 22v = 8v 20 + 8v = -20 + -22v + 22v Combine like terms: -22v + 22v = 0 20 + 8v = -20 + 0 20 + 8v = -20 Add '-20' to each side of the equation. 20 + -20 + 8v = -20 + -20 Combine like terms: 20 + -20 = 0 0 + 8v = -20 + -20 8v = -20 + -20 Combine like terms: -20 + -20 = -40 8v = -40 Divide each side by '8'. v = -5 Simplifying v = -5
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