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Simplifying -3(7n + -6) = -3(1 + 8n) Reorder the terms: -3(-6 + 7n) = -3(1 + 8n) (-6 * -3 + 7n * -3) = -3(1 + 8n) (18 + -21n) = -3(1 + 8n) 18 + -21n = (1 * -3 + 8n * -3) 18 + -21n = (-3 + -24n) Solving 18 + -21n = -3 + -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. 18 + -21n + 24n = -3 + -24n + 24n Combine like terms: -21n + 24n = 3n 18 + 3n = -3 + -24n + 24n Combine like terms: -24n + 24n = 0 18 + 3n = -3 + 0 18 + 3n = -3 Add '-18' to each side of the equation. 18 + -18 + 3n = -3 + -18 Combine like terms: 18 + -18 = 0 0 + 3n = -3 + -18 3n = -3 + -18 Combine like terms: -3 + -18 = -21 3n = -21 Divide each side by '3'. n = -7 Simplifying n = -7
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