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Simplifying 6(8n + 6) = -7 + 5n Reorder the terms: 6(6 + 8n) = -7 + 5n (6 * 6 + 8n * 6) = -7 + 5n (36 + 48n) = -7 + 5n Solving 36 + 48n = -7 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 36 + 48n + -5n = -7 + 5n + -5n Combine like terms: 48n + -5n = 43n 36 + 43n = -7 + 5n + -5n Combine like terms: 5n + -5n = 0 36 + 43n = -7 + 0 36 + 43n = -7 Add '-36' to each side of the equation. 36 + -36 + 43n = -7 + -36 Combine like terms: 36 + -36 = 0 0 + 43n = -7 + -36 43n = -7 + -36 Combine like terms: -7 + -36 = -43 43n = -43 Divide each side by '43'. n = -1 Simplifying n = -1
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