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Simplifying 7(5 + -1n) + 14 + -12n + 2 = 0 (5 * 7 + -1n * 7) + 14 + -12n + 2 = 0 (35 + -7n) + 14 + -12n + 2 = 0 Reorder the terms: 35 + 14 + 2 + -7n + -12n = 0 Combine like terms: 35 + 14 = 49 49 + 2 + -7n + -12n = 0 Combine like terms: 49 + 2 = 51 51 + -7n + -12n = 0 Combine like terms: -7n + -12n = -19n 51 + -19n = 0 Solving 51 + -19n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + -19n = 0 + -51 Combine like terms: 51 + -51 = 0 0 + -19n = 0 + -51 -19n = 0 + -51 Combine like terms: 0 + -51 = -51 -19n = -51 Divide each side by '-19'. n = 2.684210526 Simplifying n = 2.684210526
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