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Simplifying 5(-4v + 11) + -5(v + 9) = -12v + -8v Reorder the terms: 5(11 + -4v) + -5(v + 9) = -12v + -8v (11 * 5 + -4v * 5) + -5(v + 9) = -12v + -8v (55 + -20v) + -5(v + 9) = -12v + -8v Reorder the terms: 55 + -20v + -5(9 + v) = -12v + -8v 55 + -20v + (9 * -5 + v * -5) = -12v + -8v 55 + -20v + (-45 + -5v) = -12v + -8v Reorder the terms: 55 + -45 + -20v + -5v = -12v + -8v Combine like terms: 55 + -45 = 10 10 + -20v + -5v = -12v + -8v Combine like terms: -20v + -5v = -25v 10 + -25v = -12v + -8v Combine like terms: -12v + -8v = -20v 10 + -25v = -20v Solving 10 + -25v = -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. 10 + -25v + 20v = -20v + 20v Combine like terms: -25v + 20v = -5v 10 + -5v = -20v + 20v Combine like terms: -20v + 20v = 0 10 + -5v = 0 Add '-10' to each side of the equation. 10 + -10 + -5v = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -5v = 0 + -10 -5v = 0 + -10 Combine like terms: 0 + -10 = -10 -5v = -10 Divide each side by '-5'. v = 2 Simplifying v = 2
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