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Simplifying 4n + -1(4 + 3n) = -2(2 + -8n) 4n + (4 * -1 + 3n * -1) = -2(2 + -8n) 4n + (-4 + -3n) = -2(2 + -8n) Reorder the terms: -4 + 4n + -3n = -2(2 + -8n) Combine like terms: 4n + -3n = 1n -4 + 1n = -2(2 + -8n) -4 + 1n = (2 * -2 + -8n * -2) -4 + 1n = (-4 + 16n) Add '4' to each side of the equation. -4 + 4 + 1n = -4 + 4 + 16n Combine like terms: -4 + 4 = 0 0 + 1n = -4 + 4 + 16n 1n = -4 + 4 + 16n Combine like terms: -4 + 4 = 0 1n = 0 + 16n 1n = 16n Solving 1n = 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. 1n + -16n = 16n + -16n Combine like terms: 1n + -16n = -15n -15n = 16n + -16n Combine like terms: 16n + -16n = 0 -15n = 0 Divide each side by '-15'. n = 0 Simplifying n = 0
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