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Simplifying -4(1 + -4n) = -4(-3n + 10) + 8n (1 * -4 + -4n * -4) = -4(-3n + 10) + 8n (-4 + 16n) = -4(-3n + 10) + 8n Reorder the terms: -4 + 16n = -4(10 + -3n) + 8n -4 + 16n = (10 * -4 + -3n * -4) + 8n -4 + 16n = (-40 + 12n) + 8n Combine like terms: 12n + 8n = 20n -4 + 16n = -40 + 20n Solving -4 + 16n = -40 + 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. -4 + 16n + -20n = -40 + 20n + -20n Combine like terms: 16n + -20n = -4n -4 + -4n = -40 + 20n + -20n Combine like terms: 20n + -20n = 0 -4 + -4n = -40 + 0 -4 + -4n = -40 Add '4' to each side of the equation. -4 + 4 + -4n = -40 + 4 Combine like terms: -4 + 4 = 0 0 + -4n = -40 + 4 -4n = -40 + 4 Combine like terms: -40 + 4 = -36 -4n = -36 Divide each side by '-4'. n = 9 Simplifying n = 9
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