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Simplifying 2.4n + 1 = 7(2n + -4) Reorder the terms: 1 + 2.4n = 7(2n + -4) Reorder the terms: 1 + 2.4n = 7(-4 + 2n) 1 + 2.4n = (-4 * 7 + 2n * 7) 1 + 2.4n = (-28 + 14n) Solving 1 + 2.4n = -28 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. 1 + 2.4n + -14n = -28 + 14n + -14n Combine like terms: 2.4n + -14n = -11.6n 1 + -11.6n = -28 + 14n + -14n Combine like terms: 14n + -14n = 0 1 + -11.6n = -28 + 0 1 + -11.6n = -28 Add '-1' to each side of the equation. 1 + -1 + -11.6n = -28 + -1 Combine like terms: 1 + -1 = 0 0 + -11.6n = -28 + -1 -11.6n = -28 + -1 Combine like terms: -28 + -1 = -29 -11.6n = -29 Divide each side by '-11.6'. n = 2.5 Simplifying n = 2.5
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