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Simplifying 267 = -1n + -8(-7n + 1) Reorder the terms: 267 = -1n + -8(1 + -7n) 267 = -1n + (1 * -8 + -7n * -8) 267 = -1n + (-8 + 56n) Reorder the terms: 267 = -8 + -1n + 56n Combine like terms: -1n + 56n = 55n 267 = -8 + 55n Solving 267 = -8 + 55n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-55n' to each side of the equation. 267 + -55n = -8 + 55n + -55n Combine like terms: 55n + -55n = 0 267 + -55n = -8 + 0 267 + -55n = -8 Add '-267' to each side of the equation. 267 + -267 + -55n = -8 + -267 Combine like terms: 267 + -267 = 0 0 + -55n = -8 + -267 -55n = -8 + -267 Combine like terms: -8 + -267 = -275 -55n = -275 Divide each side by '-55'. n = 5 Simplifying n = 5
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