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Simplifying 267 = 5[8n + 4] + 7 Reorder the terms: 267 = 5[4 + 8n] + 7 267 = [4 * 5 + 8n * 5] + 7 267 = [20 + 40n] + 7 Reorder the terms: 267 = 20 + 7 + 40n Combine like terms: 20 + 7 = 27 267 = 27 + 40n Solving 267 = 27 + 40n 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. 267 + -40n = 27 + 40n + -40n Combine like terms: 40n + -40n = 0 267 + -40n = 27 + 0 267 + -40n = 27 Add '-267' to each side of the equation. 267 + -267 + -40n = 27 + -267 Combine like terms: 267 + -267 = 0 0 + -40n = 27 + -267 -40n = 27 + -267 Combine like terms: 27 + -267 = -240 -40n = -240 Divide each side by '-40'. n = 6 Simplifying n = 6
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