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Simplifying 10(n + 10) + 11 = 6n + -5 Reorder the terms: 10(10 + n) + 11 = 6n + -5 (10 * 10 + n * 10) + 11 = 6n + -5 (100 + 10n) + 11 = 6n + -5 Reorder the terms: 100 + 11 + 10n = 6n + -5 Combine like terms: 100 + 11 = 111 111 + 10n = 6n + -5 Reorder the terms: 111 + 10n = -5 + 6n Solving 111 + 10n = -5 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 111 + 10n + -6n = -5 + 6n + -6n Combine like terms: 10n + -6n = 4n 111 + 4n = -5 + 6n + -6n Combine like terms: 6n + -6n = 0 111 + 4n = -5 + 0 111 + 4n = -5 Add '-111' to each side of the equation. 111 + -111 + 4n = -5 + -111 Combine like terms: 111 + -111 = 0 0 + 4n = -5 + -111 4n = -5 + -111 Combine like terms: -5 + -111 = -116 4n = -116 Divide each side by '4'. n = -29 Simplifying n = -29
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