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Simplifying -4n + -4(4n + -3) = 5n + -4(n + -3) Reorder the terms: -4n + -4(-3 + 4n) = 5n + -4(n + -3) -4n + (-3 * -4 + 4n * -4) = 5n + -4(n + -3) -4n + (12 + -16n) = 5n + -4(n + -3) Reorder the terms: 12 + -4n + -16n = 5n + -4(n + -3) Combine like terms: -4n + -16n = -20n 12 + -20n = 5n + -4(n + -3) Reorder the terms: 12 + -20n = 5n + -4(-3 + n) 12 + -20n = 5n + (-3 * -4 + n * -4) 12 + -20n = 5n + (12 + -4n) Reorder the terms: 12 + -20n = 12 + 5n + -4n Combine like terms: 5n + -4n = 1n 12 + -20n = 12 + 1n Add '-12' to each side of the equation. 12 + -12 + -20n = 12 + -12 + 1n Combine like terms: 12 + -12 = 0 0 + -20n = 12 + -12 + 1n -20n = 12 + -12 + 1n Combine like terms: 12 + -12 = 0 -20n = 0 + 1n -20n = 1n Solving -20n = 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -20n + -1n = 1n + -1n Combine like terms: -20n + -1n = -21n -21n = 1n + -1n Combine like terms: 1n + -1n = 0 -21n = 0 Divide each side by '-21'. n = 0 Simplifying n = 0
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