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