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Simplifying 120 = 5 + -5(1 + -4v) 120 = 5 + (1 * -5 + -4v * -5) 120 = 5 + (-5 + 20v) Combine like terms: 5 + -5 = 0 120 = 0 + 20v 120 = 20v Solving 120 = 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. 120 + -20v = 20v + -20v Combine like terms: 20v + -20v = 0 120 + -20v = 0 Add '-120' to each side of the equation. 120 + -120 + -20v = 0 + -120 Combine like terms: 120 + -120 = 0 0 + -20v = 0 + -120 -20v = 0 + -120 Combine like terms: 0 + -120 = -120 -20v = -120 Divide each side by '-20'. v = 6 Simplifying v = 6
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