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Simplifying -22 + 2n = 5(1 + -5n) -22 + 2n = (1 * 5 + -5n * 5) -22 + 2n = (5 + -25n) Solving -22 + 2n = 5 + -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. -22 + 2n + 25n = 5 + -25n + 25n Combine like terms: 2n + 25n = 27n -22 + 27n = 5 + -25n + 25n Combine like terms: -25n + 25n = 0 -22 + 27n = 5 + 0 -22 + 27n = 5 Add '22' to each side of the equation. -22 + 22 + 27n = 5 + 22 Combine like terms: -22 + 22 = 0 0 + 27n = 5 + 22 27n = 5 + 22 Combine like terms: 5 + 22 = 27 27n = 27 Divide each side by '27'. n = 1 Simplifying n = 1
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