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Simplifying -6(8n + 4) + 5 = 77 Reorder the terms: -6(4 + 8n) + 5 = 77 (4 * -6 + 8n * -6) + 5 = 77 (-24 + -48n) + 5 = 77 Reorder the terms: -24 + 5 + -48n = 77 Combine like terms: -24 + 5 = -19 -19 + -48n = 77 Solving -19 + -48n = 77 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -48n = 77 + 19 Combine like terms: -19 + 19 = 0 0 + -48n = 77 + 19 -48n = 77 + 19 Combine like terms: 77 + 19 = 96 -48n = 96 Divide each side by '-48'. n = -2 Simplifying n = -2
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