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Simplifying 7[n + 6] = 74 + -4[n + -3] Reorder the terms: 7[6 + n] = 74 + -4[n + -3] [6 * 7 + n * 7] = 74 + -4[n + -3] [42 + 7n] = 74 + -4[n + -3] Reorder the terms: 42 + 7n = 74 + -4[-3 + n] 42 + 7n = 74 + [-3 * -4 + n * -4] 42 + 7n = 74 + [12 + -4n] Combine like terms: 74 + 12 = 86 42 + 7n = 86 + -4n Solving 42 + 7n = 86 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 42 + 7n + 4n = 86 + -4n + 4n Combine like terms: 7n + 4n = 11n 42 + 11n = 86 + -4n + 4n Combine like terms: -4n + 4n = 0 42 + 11n = 86 + 0 42 + 11n = 86 Add '-42' to each side of the equation. 42 + -42 + 11n = 86 + -42 Combine like terms: 42 + -42 = 0 0 + 11n = 86 + -42 11n = 86 + -42 Combine like terms: 86 + -42 = 44 11n = 44 Divide each side by '11'. n = 4 Simplifying n = 4
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