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Simplifying -10(1 + -11n) + 11n = 13(8n + 11) (1 * -10 + -11n * -10) + 11n = 13(8n + 11) (-10 + 110n) + 11n = 13(8n + 11) Combine like terms: 110n + 11n = 121n -10 + 121n = 13(8n + 11) Reorder the terms: -10 + 121n = 13(11 + 8n) -10 + 121n = (11 * 13 + 8n * 13) -10 + 121n = (143 + 104n) Solving -10 + 121n = 143 + 104n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-104n' to each side of the equation. -10 + 121n + -104n = 143 + 104n + -104n Combine like terms: 121n + -104n = 17n -10 + 17n = 143 + 104n + -104n Combine like terms: 104n + -104n = 0 -10 + 17n = 143 + 0 -10 + 17n = 143 Add '10' to each side of the equation. -10 + 10 + 17n = 143 + 10 Combine like terms: -10 + 10 = 0 0 + 17n = 143 + 10 17n = 143 + 10 Combine like terms: 143 + 10 = 153 17n = 153 Divide each side by '17'. n = 9 Simplifying n = 9
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