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Simplifying 10(n + 7) + 9 = 9n Reorder the terms: 10(7 + n) + 9 = 9n (7 * 10 + n * 10) + 9 = 9n (70 + 10n) + 9 = 9n Reorder the terms: 70 + 9 + 10n = 9n Combine like terms: 70 + 9 = 79 79 + 10n = 9n Solving 79 + 10n = 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 79 + 10n + -9n = 9n + -9n Combine like terms: 10n + -9n = 1n 79 + 1n = 9n + -9n Combine like terms: 9n + -9n = 0 79 + 1n = 0 Add '-79' to each side of the equation. 79 + -79 + 1n = 0 + -79 Combine like terms: 79 + -79 = 0 0 + 1n = 0 + -79 1n = 0 + -79 Combine like terms: 0 + -79 = -79 1n = -79 Divide each side by '1'. n = -79 Simplifying n = -79
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