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Simplifying 5 = -5(6 + v) + 5(5v + -1) 5 = (6 * -5 + v * -5) + 5(5v + -1) 5 = (-30 + -5v) + 5(5v + -1) Reorder the terms: 5 = -30 + -5v + 5(-1 + 5v) 5 = -30 + -5v + (-1 * 5 + 5v * 5) 5 = -30 + -5v + (-5 + 25v) Reorder the terms: 5 = -30 + -5 + -5v + 25v Combine like terms: -30 + -5 = -35 5 = -35 + -5v + 25v Combine like terms: -5v + 25v = 20v 5 = -35 + 20v Solving 5 = -35 + 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. 5 + -20v = -35 + 20v + -20v Combine like terms: 20v + -20v = 0 5 + -20v = -35 + 0 5 + -20v = -35 Add '-5' to each side of the equation. 5 + -5 + -20v = -35 + -5 Combine like terms: 5 + -5 = 0 0 + -20v = -35 + -5 -20v = -35 + -5 Combine like terms: -35 + -5 = -40 -20v = -40 Divide each side by '-20'. v = 2 Simplifying v = 2
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