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Simplifying 5n + 2(n + -3) + 7 = 0 Reorder the terms: 5n + 2(-3 + n) + 7 = 0 5n + (-3 * 2 + n * 2) + 7 = 0 5n + (-6 + 2n) + 7 = 0 Reorder the terms: -6 + 7 + 5n + 2n = 0 Combine like terms: -6 + 7 = 1 1 + 5n + 2n = 0 Combine like terms: 5n + 2n = 7n 1 + 7n = 0 Solving 1 + 7n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 7n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7n = 0 + -1 7n = 0 + -1 Combine like terms: 0 + -1 = -1 7n = -1 Divide each side by '7'. n = -0.1428571429 Simplifying n = -0.1428571429
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