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Simplifying 3n + -5 = -8(6x + 5n) Reorder the terms: -5 + 3n = -8(6x + 5n) Reorder the terms: -5 + 3n = -8(5n + 6x) -5 + 3n = (5n * -8 + 6x * -8) -5 + 3n = (-40n + -48x) Solving -5 + 3n = -40n + -48x Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '40n' to each side of the equation. -5 + 3n + 40n = -40n + 40n + -48x Combine like terms: 3n + 40n = 43n -5 + 43n = -40n + 40n + -48x Combine like terms: -40n + 40n = 0 -5 + 43n = 0 + -48x -5 + 43n = -48x Add '5' to each side of the equation. -5 + 5 + 43n = 5 + -48x Combine like terms: -5 + 5 = 0 0 + 43n = 5 + -48x 43n = 5 + -48x Divide each side by '43'. n = 0.1162790698 + -1.11627907x Simplifying n = 0.1162790698 + -1.11627907x
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