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Simplifying 1.2(2n + 6) = 5n + -12 + -1n Reorder the terms: 1.2(6 + 2n) = 5n + -12 + -1n (6 * 1.2 + 2n * 1.2) = 5n + -12 + -1n (7.2 + 2.4n) = 5n + -12 + -1n Reorder the terms: 7.2 + 2.4n = -12 + 5n + -1n Combine like terms: 5n + -1n = 4n 7.2 + 2.4n = -12 + 4n Solving 7.2 + 2.4n = -12 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 7.2 + 2.4n + -4n = -12 + 4n + -4n Combine like terms: 2.4n + -4n = -1.6n 7.2 + -1.6n = -12 + 4n + -4n Combine like terms: 4n + -4n = 0 7.2 + -1.6n = -12 + 0 7.2 + -1.6n = -12 Add '-7.2' to each side of the equation. 7.2 + -7.2 + -1.6n = -12 + -7.2 Combine like terms: 7.2 + -7.2 = 0.0 0.0 + -1.6n = -12 + -7.2 -1.6n = -12 + -7.2 Combine like terms: -12 + -7.2 = -19.2 -1.6n = -19.2 Divide each side by '-1.6'. n = 12 Simplifying n = 12
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