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Simplifying 7(8n + -1) + -3 = 382 Reorder the terms: 7(-1 + 8n) + -3 = 382 (-1 * 7 + 8n * 7) + -3 = 382 (-7 + 56n) + -3 = 382 Reorder the terms: -7 + -3 + 56n = 382 Combine like terms: -7 + -3 = -10 -10 + 56n = 382 Solving -10 + 56n = 382 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 56n = 382 + 10 Combine like terms: -10 + 10 = 0 0 + 56n = 382 + 10 56n = 382 + 10 Combine like terms: 382 + 10 = 392 56n = 392 Divide each side by '56'. n = 7 Simplifying n = 7
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