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Simplifying n + 10 = 7n + -14 Reorder the terms: 10 + n = 7n + -14 Reorder the terms: 10 + n = -14 + 7n Solving 10 + n = -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. 10 + n + -7n = -14 + 7n + -7n Combine like terms: n + -7n = -6n 10 + -6n = -14 + 7n + -7n Combine like terms: 7n + -7n = 0 10 + -6n = -14 + 0 10 + -6n = -14 Add '-10' to each side of the equation. 10 + -10 + -6n = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -6n = -14 + -10 -6n = -14 + -10 Combine like terms: -14 + -10 = -24 -6n = -24 Divide each side by '-6'. n = 4 Simplifying n = 4
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