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Simplifying 10(n + 6) = 3n + -43 Reorder the terms: 10(6 + n) = 3n + -43 (6 * 10 + n * 10) = 3n + -43 (60 + 10n) = 3n + -43 Reorder the terms: 60 + 10n = -43 + 3n Solving 60 + 10n = -43 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 60 + 10n + -3n = -43 + 3n + -3n Combine like terms: 10n + -3n = 7n 60 + 7n = -43 + 3n + -3n Combine like terms: 3n + -3n = 0 60 + 7n = -43 + 0 60 + 7n = -43 Add '-60' to each side of the equation. 60 + -60 + 7n = -43 + -60 Combine like terms: 60 + -60 = 0 0 + 7n = -43 + -60 7n = -43 + -60 Combine like terms: -43 + -60 = -103 7n = -103 Divide each side by '7'. n = -14.71428571 Simplifying n = -14.71428571
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