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Simplifying 7(2n + 10) + -9n = 0 Reorder the terms: 7(10 + 2n) + -9n = 0 (10 * 7 + 2n * 7) + -9n = 0 (70 + 14n) + -9n = 0 Combine like terms: 14n + -9n = 5n 70 + 5n = 0 Solving 70 + 5n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + -70 + 5n = 0 + -70 Combine like terms: 70 + -70 = 0 0 + 5n = 0 + -70 5n = 0 + -70 Combine like terms: 0 + -70 = -70 5n = -70 Divide each side by '5'. n = -14 Simplifying n = -14
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