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Simplifying -5(n + 8) = 3 + -4n Reorder the terms: -5(8 + n) = 3 + -4n (8 * -5 + n * -5) = 3 + -4n (-40 + -5n) = 3 + -4n Solving -40 + -5n = 3 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -40 + -5n + 4n = 3 + -4n + 4n Combine like terms: -5n + 4n = -1n -40 + -1n = 3 + -4n + 4n Combine like terms: -4n + 4n = 0 -40 + -1n = 3 + 0 -40 + -1n = 3 Add '40' to each side of the equation. -40 + 40 + -1n = 3 + 40 Combine like terms: -40 + 40 = 0 0 + -1n = 3 + 40 -1n = 3 + 40 Combine like terms: 3 + 40 = 43 -1n = 43 Divide each side by '-1'. n = -43 Simplifying n = -43
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