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Simplifying 1 + 2n + 3 = -4(1 + -3n) + 2(4 + 4n) Reorder the terms: 1 + 3 + 2n = -4(1 + -3n) + 2(4 + 4n) Combine like terms: 1 + 3 = 4 4 + 2n = -4(1 + -3n) + 2(4 + 4n) 4 + 2n = (1 * -4 + -3n * -4) + 2(4 + 4n) 4 + 2n = (-4 + 12n) + 2(4 + 4n) 4 + 2n = -4 + 12n + (4 * 2 + 4n * 2) 4 + 2n = -4 + 12n + (8 + 8n) Reorder the terms: 4 + 2n = -4 + 8 + 12n + 8n Combine like terms: -4 + 8 = 4 4 + 2n = 4 + 12n + 8n Combine like terms: 12n + 8n = 20n 4 + 2n = 4 + 20n Add '-4' to each side of the equation. 4 + -4 + 2n = 4 + -4 + 20n Combine like terms: 4 + -4 = 0 0 + 2n = 4 + -4 + 20n 2n = 4 + -4 + 20n Combine like terms: 4 + -4 = 0 2n = 0 + 20n 2n = 20n Solving 2n = 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. 2n + -20n = 20n + -20n Combine like terms: 2n + -20n = -18n -18n = 20n + -20n Combine like terms: 20n + -20n = 0 -18n = 0 Divide each side by '-18'. n = 0 Simplifying n = 0
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