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Simplifying -6(2n + -3) = 6 + -8n Reorder the terms: -6(-3 + 2n) = 6 + -8n (-3 * -6 + 2n * -6) = 6 + -8n (18 + -12n) = 6 + -8n Solving 18 + -12n = 6 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. 18 + -12n + 8n = 6 + -8n + 8n Combine like terms: -12n + 8n = -4n 18 + -4n = 6 + -8n + 8n Combine like terms: -8n + 8n = 0 18 + -4n = 6 + 0 18 + -4n = 6 Add '-18' to each side of the equation. 18 + -18 + -4n = 6 + -18 Combine like terms: 18 + -18 = 0 0 + -4n = 6 + -18 -4n = 6 + -18 Combine like terms: 6 + -18 = -12 -4n = -12 Divide each side by '-4'. n = 3 Simplifying n = 3
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