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Simplifying -9 + 4(-9 + 5n) = -5(-5n + 11) -9 + (-9 * 4 + 5n * 4) = -5(-5n + 11) -9 + (-36 + 20n) = -5(-5n + 11) Combine like terms: -9 + -36 = -45 -45 + 20n = -5(-5n + 11) Reorder the terms: -45 + 20n = -5(11 + -5n) -45 + 20n = (11 * -5 + -5n * -5) -45 + 20n = (-55 + 25n) Solving -45 + 20n = -55 + 25n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-25n' to each side of the equation. -45 + 20n + -25n = -55 + 25n + -25n Combine like terms: 20n + -25n = -5n -45 + -5n = -55 + 25n + -25n Combine like terms: 25n + -25n = 0 -45 + -5n = -55 + 0 -45 + -5n = -55 Add '45' to each side of the equation. -45 + 45 + -5n = -55 + 45 Combine like terms: -45 + 45 = 0 0 + -5n = -55 + 45 -5n = -55 + 45 Combine like terms: -55 + 45 = -10 -5n = -10 Divide each side by '-5'. n = 2 Simplifying n = 2
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