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Simplifying -3n + -8(4n + 5) = 40 + 5n Reorder the terms: -3n + -8(5 + 4n) = 40 + 5n -3n + (5 * -8 + 4n * -8) = 40 + 5n -3n + (-40 + -32n) = 40 + 5n Reorder the terms: -40 + -3n + -32n = 40 + 5n Combine like terms: -3n + -32n = -35n -40 + -35n = 40 + 5n Solving -40 + -35n = 40 + 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. -40 + -35n + -5n = 40 + 5n + -5n Combine like terms: -35n + -5n = -40n -40 + -40n = 40 + 5n + -5n Combine like terms: 5n + -5n = 0 -40 + -40n = 40 + 0 -40 + -40n = 40 Add '40' to each side of the equation. -40 + 40 + -40n = 40 + 40 Combine like terms: -40 + 40 = 0 0 + -40n = 40 + 40 -40n = 40 + 40 Combine like terms: 40 + 40 = 80 -40n = 80 Divide each side by '-40'. n = -2 Simplifying n = -2
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