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Simplifying 8(1 + -6n) + 4(n + 6) = 76 (1 * 8 + -6n * 8) + 4(n + 6) = 76 (8 + -48n) + 4(n + 6) = 76 Reorder the terms: 8 + -48n + 4(6 + n) = 76 8 + -48n + (6 * 4 + n * 4) = 76 8 + -48n + (24 + 4n) = 76 Reorder the terms: 8 + 24 + -48n + 4n = 76 Combine like terms: 8 + 24 = 32 32 + -48n + 4n = 76 Combine like terms: -48n + 4n = -44n 32 + -44n = 76 Solving 32 + -44n = 76 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -44n = 76 + -32 Combine like terms: 32 + -32 = 0 0 + -44n = 76 + -32 -44n = 76 + -32 Combine like terms: 76 + -32 = 44 -44n = 44 Divide each side by '-44'. n = -1 Simplifying n = -1
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