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Simplifying -2n + 5(-8 + 8n) = 112 -2n + (-8 * 5 + 8n * 5) = 112 -2n + (-40 + 40n) = 112 Reorder the terms: -40 + -2n + 40n = 112 Combine like terms: -2n + 40n = 38n -40 + 38n = 112 Solving -40 + 38n = 112 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 + 38n = 112 + 40 Combine like terms: -40 + 40 = 0 0 + 38n = 112 + 40 38n = 112 + 40 Combine like terms: 112 + 40 = 152 38n = 152 Divide each side by '38'. n = 4 Simplifying n = 4
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