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Simplifying 20 + 5v = 3(4v + -5) Reorder the terms: 20 + 5v = 3(-5 + 4v) 20 + 5v = (-5 * 3 + 4v * 3) 20 + 5v = (-15 + 12v) Solving 20 + 5v = -15 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. 20 + 5v + -12v = -15 + 12v + -12v Combine like terms: 5v + -12v = -7v 20 + -7v = -15 + 12v + -12v Combine like terms: 12v + -12v = 0 20 + -7v = -15 + 0 20 + -7v = -15 Add '-20' to each side of the equation. 20 + -20 + -7v = -15 + -20 Combine like terms: 20 + -20 = 0 0 + -7v = -15 + -20 -7v = -15 + -20 Combine like terms: -15 + -20 = -35 -7v = -35 Divide each side by '-7'. v = 5 Simplifying v = 5
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