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Simplifying 2.75 + -7.75(5 + -2n) = 2n 2.75 + (5 * -7.75 + -2n * -7.75) = 2n 2.75 + (-38.75 + 15.5n) = 2n Combine like terms: 2.75 + -38.75 = -36 -36 + 15.5n = 2n Solving -36 + 15.5n = 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -36 + 15.5n + -2n = 2n + -2n Combine like terms: 15.5n + -2n = 13.5n -36 + 13.5n = 2n + -2n Combine like terms: 2n + -2n = 0 -36 + 13.5n = 0 Add '36' to each side of the equation. -36 + 36 + 13.5n = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 13.5n = 0 + 36 13.5n = 0 + 36 Combine like terms: 0 + 36 = 36 13.5n = 36 Divide each side by '13.5'. n = 2.666666667 Simplifying n = 2.666666667
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