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Simplifying 2 + 6(1 + 4n) = 6n + -7(n + 6) 2 + (1 * 6 + 4n * 6) = 6n + -7(n + 6) 2 + (6 + 24n) = 6n + -7(n + 6) Combine like terms: 2 + 6 = 8 8 + 24n = 6n + -7(n + 6) Reorder the terms: 8 + 24n = 6n + -7(6 + n) 8 + 24n = 6n + (6 * -7 + n * -7) 8 + 24n = 6n + (-42 + -7n) Reorder the terms: 8 + 24n = -42 + 6n + -7n Combine like terms: 6n + -7n = -1n 8 + 24n = -42 + -1n Solving 8 + 24n = -42 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 8 + 24n + n = -42 + -1n + n Combine like terms: 24n + n = 25n 8 + 25n = -42 + -1n + n Combine like terms: -1n + n = 0 8 + 25n = -42 + 0 8 + 25n = -42 Add '-8' to each side of the equation. 8 + -8 + 25n = -42 + -8 Combine like terms: 8 + -8 = 0 0 + 25n = -42 + -8 25n = -42 + -8 Combine like terms: -42 + -8 = -50 25n = -50 Divide each side by '25'. n = -2 Simplifying n = -2
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