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Simplifying 7 + 10n + 12 = 11n + 1 + 7 Reorder the terms: 7 + 12 + 10n = 11n + 1 + 7 Combine like terms: 7 + 12 = 19 19 + 10n = 11n + 1 + 7 Reorder the terms: 19 + 10n = 1 + 7 + 11n Combine like terms: 1 + 7 = 8 19 + 10n = 8 + 11n Solving 19 + 10n = 8 + 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. 19 + 10n + -11n = 8 + 11n + -11n Combine like terms: 10n + -11n = -1n 19 + -1n = 8 + 11n + -11n Combine like terms: 11n + -11n = 0 19 + -1n = 8 + 0 19 + -1n = 8 Add '-19' to each side of the equation. 19 + -19 + -1n = 8 + -19 Combine like terms: 19 + -19 = 0 0 + -1n = 8 + -19 -1n = 8 + -19 Combine like terms: 8 + -19 = -11 -1n = -11 Divide each side by '-1'. n = 11 Simplifying n = 11
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