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Simplifying 4(1 + -5n) + -2n = -12n + -2(n + -6) (1 * 4 + -5n * 4) + -2n = -12n + -2(n + -6) (4 + -20n) + -2n = -12n + -2(n + -6) Combine like terms: -20n + -2n = -22n 4 + -22n = -12n + -2(n + -6) Reorder the terms: 4 + -22n = -12n + -2(-6 + n) 4 + -22n = -12n + (-6 * -2 + n * -2) 4 + -22n = -12n + (12 + -2n) Reorder the terms: 4 + -22n = 12 + -12n + -2n Combine like terms: -12n + -2n = -14n 4 + -22n = 12 + -14n Solving 4 + -22n = 12 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. 4 + -22n + 14n = 12 + -14n + 14n Combine like terms: -22n + 14n = -8n 4 + -8n = 12 + -14n + 14n Combine like terms: -14n + 14n = 0 4 + -8n = 12 + 0 4 + -8n = 12 Add '-4' to each side of the equation. 4 + -4 + -8n = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -8n = 12 + -4 -8n = 12 + -4 Combine like terms: 12 + -4 = 8 -8n = 8 Divide each side by '-8'. n = -1 Simplifying n = -1
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