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Simplifying -40 + -5n = 4n + 7(1 + -8n) -40 + -5n = 4n + (1 * 7 + -8n * 7) -40 + -5n = 4n + (7 + -56n) Reorder the terms: -40 + -5n = 7 + 4n + -56n Combine like terms: 4n + -56n = -52n -40 + -5n = 7 + -52n Solving -40 + -5n = 7 + -52n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '52n' to each side of the equation. -40 + -5n + 52n = 7 + -52n + 52n Combine like terms: -5n + 52n = 47n -40 + 47n = 7 + -52n + 52n Combine like terms: -52n + 52n = 0 -40 + 47n = 7 + 0 -40 + 47n = 7 Add '40' to each side of the equation. -40 + 40 + 47n = 7 + 40 Combine like terms: -40 + 40 = 0 0 + 47n = 7 + 40 47n = 7 + 40 Combine like terms: 7 + 40 = 47 47n = 47 Divide each side by '47'. n = 1 Simplifying n = 1
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