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Simplifying 6(7n + 8) + 8(1 + -6n) = 74 Reorder the terms: 6(8 + 7n) + 8(1 + -6n) = 74 (8 * 6 + 7n * 6) + 8(1 + -6n) = 74 (48 + 42n) + 8(1 + -6n) = 74 48 + 42n + (1 * 8 + -6n * 8) = 74 48 + 42n + (8 + -48n) = 74 Reorder the terms: 48 + 8 + 42n + -48n = 74 Combine like terms: 48 + 8 = 56 56 + 42n + -48n = 74 Combine like terms: 42n + -48n = -6n 56 + -6n = 74 Solving 56 + -6n = 74 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + -6n = 74 + -56 Combine like terms: 56 + -56 = 0 0 + -6n = 74 + -56 -6n = 74 + -56 Combine like terms: 74 + -56 = 18 -6n = 18 Divide each side by '-6'. n = -3 Simplifying n = -3
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