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Simplifying -6(3n + -1) + -2(1 + -6n) = -8n + 6n Reorder the terms: -6(-1 + 3n) + -2(1 + -6n) = -8n + 6n (-1 * -6 + 3n * -6) + -2(1 + -6n) = -8n + 6n (6 + -18n) + -2(1 + -6n) = -8n + 6n 6 + -18n + (1 * -2 + -6n * -2) = -8n + 6n 6 + -18n + (-2 + 12n) = -8n + 6n Reorder the terms: 6 + -2 + -18n + 12n = -8n + 6n Combine like terms: 6 + -2 = 4 4 + -18n + 12n = -8n + 6n Combine like terms: -18n + 12n = -6n 4 + -6n = -8n + 6n Combine like terms: -8n + 6n = -2n 4 + -6n = -2n Solving 4 + -6n = -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 4 + -6n + 2n = -2n + 2n Combine like terms: -6n + 2n = -4n 4 + -4n = -2n + 2n Combine like terms: -2n + 2n = 0 4 + -4n = 0 Add '-4' to each side of the equation. 4 + -4 + -4n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -4n = 0 + -4 -4n = 0 + -4 Combine like terms: 0 + -4 = -4 -4n = -4 Divide each side by '-4'. n = 1 Simplifying n = 1
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