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Simplifying 1.2(3n + 7) + -2.4n = 0 Reorder the terms: 1.2(7 + 3n) + -2.4n = 0 (7 * 1.2 + 3n * 1.2) + -2.4n = 0 (8.4 + 3.6n) + -2.4n = 0 Combine like terms: 3.6n + -2.4n = 1.2n 8.4 + 1.2n = 0 Solving 8.4 + 1.2n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8.4' to each side of the equation. 8.4 + -8.4 + 1.2n = 0 + -8.4 Combine like terms: 8.4 + -8.4 = 0.0 0.0 + 1.2n = 0 + -8.4 1.2n = 0 + -8.4 Combine like terms: 0 + -8.4 = -8.4 1.2n = -8.4 Divide each side by '1.2'. n = -7 Simplifying n = -7
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