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Simplifying 5(10n + -8) + 5(-11 + 10) = 2 + -5n Reorder the terms: 5(-8 + 10n) + 5(-11 + 10) = 2 + -5n (-8 * 5 + 10n * 5) + 5(-11 + 10) = 2 + -5n (-40 + 50n) + 5(-11 + 10) = 2 + -5n Combine like terms: -11 + 10 = -1 -40 + 50n + 5(-1) = 2 + -5n Multiply 5 * -1 -40 + 50n + -5 = 2 + -5n Reorder the terms: -40 + -5 + 50n = 2 + -5n Combine like terms: -40 + -5 = -45 -45 + 50n = 2 + -5n Solving -45 + 50n = 2 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -45 + 50n + 5n = 2 + -5n + 5n Combine like terms: 50n + 5n = 55n -45 + 55n = 2 + -5n + 5n Combine like terms: -5n + 5n = 0 -45 + 55n = 2 + 0 -45 + 55n = 2 Add '45' to each side of the equation. -45 + 45 + 55n = 2 + 45 Combine like terms: -45 + 45 = 0 0 + 55n = 2 + 45 55n = 2 + 45 Combine like terms: 2 + 45 = 47 55n = 47 Divide each side by '55'. n = 0.8545454545 Simplifying n = 0.8545454545
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