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Simplifying -4(n + -8) + -7(3 + -8n) = -41 Reorder the terms: -4(-8 + n) + -7(3 + -8n) = -41 (-8 * -4 + n * -4) + -7(3 + -8n) = -41 (32 + -4n) + -7(3 + -8n) = -41 32 + -4n + (3 * -7 + -8n * -7) = -41 32 + -4n + (-21 + 56n) = -41 Reorder the terms: 32 + -21 + -4n + 56n = -41 Combine like terms: 32 + -21 = 11 11 + -4n + 56n = -41 Combine like terms: -4n + 56n = 52n 11 + 52n = -41 Solving 11 + 52n = -41 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 + 52n = -41 + -11 Combine like terms: 11 + -11 = 0 0 + 52n = -41 + -11 52n = -41 + -11 Combine like terms: -41 + -11 = -52 52n = -52 Divide each side by '52'. n = -1 Simplifying n = -1
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