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