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Simplifying 10n + 1 = 3n + -13 Reorder the terms: 1 + 10n = 3n + -13 Reorder the terms: 1 + 10n = -13 + 3n Solving 1 + 10n = -13 + 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. 1 + 10n + -3n = -13 + 3n + -3n Combine like terms: 10n + -3n = 7n 1 + 7n = -13 + 3n + -3n Combine like terms: 3n + -3n = 0 1 + 7n = -13 + 0 1 + 7n = -13 Add '-1' to each side of the equation. 1 + -1 + 7n = -13 + -1 Combine like terms: 1 + -1 = 0 0 + 7n = -13 + -1 7n = -13 + -1 Combine like terms: -13 + -1 = -14 7n = -14 Divide each side by '7'. n = -2 Simplifying n = -2
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