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Simplifying -8(3 + 3n) + 1 = 31 + -6n (3 * -8 + 3n * -8) + 1 = 31 + -6n (-24 + -24n) + 1 = 31 + -6n Reorder the terms: -24 + 1 + -24n = 31 + -6n Combine like terms: -24 + 1 = -23 -23 + -24n = 31 + -6n Solving -23 + -24n = 31 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -23 + -24n + 6n = 31 + -6n + 6n Combine like terms: -24n + 6n = -18n -23 + -18n = 31 + -6n + 6n Combine like terms: -6n + 6n = 0 -23 + -18n = 31 + 0 -23 + -18n = 31 Add '23' to each side of the equation. -23 + 23 + -18n = 31 + 23 Combine like terms: -23 + 23 = 0 0 + -18n = 31 + 23 -18n = 31 + 23 Combine like terms: 31 + 23 = 54 -18n = 54 Divide each side by '-18'. n = -3 Simplifying n = -3
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