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Simplifying 4(3 + -5n) = 12 + n (3 * 4 + -5n * 4) = 12 + n (12 + -20n) = 12 + n Add '-12' to each side of the equation. 12 + -12 + -20n = 12 + -12 + n Combine like terms: 12 + -12 = 0 0 + -20n = 12 + -12 + n -20n = 12 + -12 + n Combine like terms: 12 + -12 = 0 -20n = 0 + n -20n = n Solving -20n = n 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 = n + -1n Combine like terms: -20n + -1n = -21n -21n = n + -1n Combine like terms: n + -1n = 0 -21n = 0 Divide each side by '-21'. n = 0 Simplifying n = 0
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