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Simplifying 7n + 23 = 1 + 10n + 1 Reorder the terms: 23 + 7n = 1 + 10n + 1 Reorder the terms: 23 + 7n = 1 + 1 + 10n Combine like terms: 1 + 1 = 2 23 + 7n = 2 + 10n Solving 23 + 7n = 2 + 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. 23 + 7n + -10n = 2 + 10n + -10n Combine like terms: 7n + -10n = -3n 23 + -3n = 2 + 10n + -10n Combine like terms: 10n + -10n = 0 23 + -3n = 2 + 0 23 + -3n = 2 Add '-23' to each side of the equation. 23 + -23 + -3n = 2 + -23 Combine like terms: 23 + -23 = 0 0 + -3n = 2 + -23 -3n = 2 + -23 Combine like terms: 2 + -23 = -21 -3n = -21 Divide each side by '-3'. n = 7 Simplifying n = 7
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