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Simplifying -2.4n + 14.72 = 0.4(11 + -1n) Reorder the terms: 14.72 + -2.4n = 0.4(11 + -1n) 14.72 + -2.4n = (11 * 0.4 + -1n * 0.4) 14.72 + -2.4n = (4.4 + -0.4n) Solving 14.72 + -2.4n = 4.4 + -0.4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.4n' to each side of the equation. 14.72 + -2.4n + 0.4n = 4.4 + -0.4n + 0.4n Combine like terms: -2.4n + 0.4n = -2n 14.72 + -2n = 4.4 + -0.4n + 0.4n Combine like terms: -0.4n + 0.4n = 0.0 14.72 + -2n = 4.4 + 0.0 14.72 + -2n = 4.4 Add '-14.72' to each side of the equation. 14.72 + -14.72 + -2n = 4.4 + -14.72 Combine like terms: 14.72 + -14.72 = 0.00 0.00 + -2n = 4.4 + -14.72 -2n = 4.4 + -14.72 Combine like terms: 4.4 + -14.72 = -10.32 -2n = -10.32 Divide each side by '-2'. n = 5.16 Simplifying n = 5.16
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