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Simplifying 10n + 19 = 7n + -14 Reorder the terms: 19 + 10n = 7n + -14 Reorder the terms: 19 + 10n = -14 + 7n Solving 19 + 10n = -14 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 19 + 10n + -7n = -14 + 7n + -7n Combine like terms: 10n + -7n = 3n 19 + 3n = -14 + 7n + -7n Combine like terms: 7n + -7n = 0 19 + 3n = -14 + 0 19 + 3n = -14 Add '-19' to each side of the equation. 19 + -19 + 3n = -14 + -19 Combine like terms: 19 + -19 = 0 0 + 3n = -14 + -19 3n = -14 + -19 Combine like terms: -14 + -19 = -33 3n = -33 Divide each side by '3'. n = -11 Simplifying n = -11
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