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Simplifying -3(1 + 8n) + -1(4n + 8) = -67 (1 * -3 + 8n * -3) + -1(4n + 8) = -67 (-3 + -24n) + -1(4n + 8) = -67 Reorder the terms: -3 + -24n + -1(8 + 4n) = -67 -3 + -24n + (8 * -1 + 4n * -1) = -67 -3 + -24n + (-8 + -4n) = -67 Reorder the terms: -3 + -8 + -24n + -4n = -67 Combine like terms: -3 + -8 = -11 -11 + -24n + -4n = -67 Combine like terms: -24n + -4n = -28n -11 + -28n = -67 Solving -11 + -28n = -67 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -28n = -67 + 11 Combine like terms: -11 + 11 = 0 0 + -28n = -67 + 11 -28n = -67 + 11 Combine like terms: -67 + 11 = -56 -28n = -56 Divide each side by '-28'. n = 2 Simplifying n = 2
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