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Simplifying -3(n + -4) + -1(8n + -6) = -12n Reorder the terms: -3(-4 + n) + -1(8n + -6) = -12n (-4 * -3 + n * -3) + -1(8n + -6) = -12n (12 + -3n) + -1(8n + -6) = -12n Reorder the terms: 12 + -3n + -1(-6 + 8n) = -12n 12 + -3n + (-6 * -1 + 8n * -1) = -12n 12 + -3n + (6 + -8n) = -12n Reorder the terms: 12 + 6 + -3n + -8n = -12n Combine like terms: 12 + 6 = 18 18 + -3n + -8n = -12n Combine like terms: -3n + -8n = -11n 18 + -11n = -12n Solving 18 + -11n = -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. 18 + -11n + 12n = -12n + 12n Combine like terms: -11n + 12n = 1n 18 + 1n = -12n + 12n Combine like terms: -12n + 12n = 0 18 + 1n = 0 Add '-18' to each side of the equation. 18 + -18 + 1n = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 1n = 0 + -18 1n = 0 + -18 Combine like terms: 0 + -18 = -18 1n = -18 Divide each side by '1'. n = -18 Simplifying n = -18
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