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Simplifying 8(3n + 6) = 22 + -7n Reorder the terms: 8(6 + 3n) = 22 + -7n (6 * 8 + 3n * 8) = 22 + -7n (48 + 24n) = 22 + -7n Solving 48 + 24n = 22 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 48 + 24n + 7n = 22 + -7n + 7n Combine like terms: 24n + 7n = 31n 48 + 31n = 22 + -7n + 7n Combine like terms: -7n + 7n = 0 48 + 31n = 22 + 0 48 + 31n = 22 Add '-48' to each side of the equation. 48 + -48 + 31n = 22 + -48 Combine like terms: 48 + -48 = 0 0 + 31n = 22 + -48 31n = 22 + -48 Combine like terms: 22 + -48 = -26 31n = -26 Divide each side by '31'. n = -0.8387096774 Simplifying n = -0.8387096774
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