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Simplifying 8n + -3(-7n + -6) = -6 + 5n Reorder the terms: 8n + -3(-6 + -7n) = -6 + 5n 8n + (-6 * -3 + -7n * -3) = -6 + 5n 8n + (18 + 21n) = -6 + 5n Reorder the terms: 18 + 8n + 21n = -6 + 5n Combine like terms: 8n + 21n = 29n 18 + 29n = -6 + 5n Solving 18 + 29n = -6 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 18 + 29n + -5n = -6 + 5n + -5n Combine like terms: 29n + -5n = 24n 18 + 24n = -6 + 5n + -5n Combine like terms: 5n + -5n = 0 18 + 24n = -6 + 0 18 + 24n = -6 Add '-18' to each side of the equation. 18 + -18 + 24n = -6 + -18 Combine like terms: 18 + -18 = 0 0 + 24n = -6 + -18 24n = -6 + -18 Combine like terms: -6 + -18 = -24 24n = -24 Divide each side by '24'. n = -1 Simplifying n = -1
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