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Simplifying -2n + -1(2.8 + -7n) = 2.4 + 5.4n -2n + (2.8 * -1 + -7n * -1) = 2.4 + 5.4n -2n + (-2.8 + 7n) = 2.4 + 5.4n Reorder the terms: -2.8 + -2n + 7n = 2.4 + 5.4n Combine like terms: -2n + 7n = 5n -2.8 + 5n = 2.4 + 5.4n Solving -2.8 + 5n = 2.4 + 5.4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5.4n' to each side of the equation. -2.8 + 5n + -5.4n = 2.4 + 5.4n + -5.4n Combine like terms: 5n + -5.4n = -0.4n -2.8 + -0.4n = 2.4 + 5.4n + -5.4n Combine like terms: 5.4n + -5.4n = 0.0 -2.8 + -0.4n = 2.4 + 0.0 -2.8 + -0.4n = 2.4 Add '2.8' to each side of the equation. -2.8 + 2.8 + -0.4n = 2.4 + 2.8 Combine like terms: -2.8 + 2.8 = 0.0 0.0 + -0.4n = 2.4 + 2.8 -0.4n = 2.4 + 2.8 Combine like terms: 2.4 + 2.8 = 5.2 -0.4n = 5.2 Divide each side by '-0.4'. n = -13 Simplifying n = -13
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