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Simplifying 2n + -40 = 8(4n + -5) Reorder the terms: -40 + 2n = 8(4n + -5) Reorder the terms: -40 + 2n = 8(-5 + 4n) -40 + 2n = (-5 * 8 + 4n * 8) -40 + 2n = (-40 + 32n) Add '40' to each side of the equation. -40 + 40 + 2n = -40 + 40 + 32n Combine like terms: -40 + 40 = 0 0 + 2n = -40 + 40 + 32n 2n = -40 + 40 + 32n Combine like terms: -40 + 40 = 0 2n = 0 + 32n 2n = 32n Solving 2n = 32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32n' to each side of the equation. 2n + -32n = 32n + -32n Combine like terms: 2n + -32n = -30n -30n = 32n + -32n Combine like terms: 32n + -32n = 0 -30n = 0 Divide each side by '-30'. n = 0.0 Simplifying n = 0.0
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