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Simplifying 9(n + 7) = 1 + 10n Reorder the terms: 9(7 + n) = 1 + 10n (7 * 9 + n * 9) = 1 + 10n (63 + 9n) = 1 + 10n Solving 63 + 9n = 1 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. 63 + 9n + -10n = 1 + 10n + -10n Combine like terms: 9n + -10n = -1n 63 + -1n = 1 + 10n + -10n Combine like terms: 10n + -10n = 0 63 + -1n = 1 + 0 63 + -1n = 1 Add '-63' to each side of the equation. 63 + -63 + -1n = 1 + -63 Combine like terms: 63 + -63 = 0 0 + -1n = 1 + -63 -1n = 1 + -63 Combine like terms: 1 + -63 = -62 -1n = -62 Divide each side by '-1'. n = 62 Simplifying n = 62
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