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Simplifying 6 + -3 + -1n = 5(5n + 20) + -19 Combine like terms: 6 + -3 = 3 3 + -1n = 5(5n + 20) + -19 Reorder the terms: 3 + -1n = 5(20 + 5n) + -19 3 + -1n = (20 * 5 + 5n * 5) + -19 3 + -1n = (100 + 25n) + -19 Reorder the terms: 3 + -1n = 100 + -19 + 25n Combine like terms: 100 + -19 = 81 3 + -1n = 81 + 25n Solving 3 + -1n = 81 + 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. 3 + -1n + -25n = 81 + 25n + -25n Combine like terms: -1n + -25n = -26n 3 + -26n = 81 + 25n + -25n Combine like terms: 25n + -25n = 0 3 + -26n = 81 + 0 3 + -26n = 81 Add '-3' to each side of the equation. 3 + -3 + -26n = 81 + -3 Combine like terms: 3 + -3 = 0 0 + -26n = 81 + -3 -26n = 81 + -3 Combine like terms: 81 + -3 = 78 -26n = 78 Divide each side by '-26'. n = -3 Simplifying n = -3
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