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Simplifying 7(n + 4) + -2n = -17 Reorder the terms: 7(4 + n) + -2n = -17 (4 * 7 + n * 7) + -2n = -17 (28 + 7n) + -2n = -17 Combine like terms: 7n + -2n = 5n 28 + 5n = -17 Solving 28 + 5n = -17 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 5n = -17 + -28 Combine like terms: 28 + -28 = 0 0 + 5n = -17 + -28 5n = -17 + -28 Combine like terms: -17 + -28 = -45 5n = -45 Divide each side by '5'. n = -9 Simplifying n = -9
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