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Simplifying 4(n + 3) = 3(11 + -1n) Reorder the terms: 4(3 + n) = 3(11 + -1n) (3 * 4 + n * 4) = 3(11 + -1n) (12 + 4n) = 3(11 + -1n) 12 + 4n = (11 * 3 + -1n * 3) 12 + 4n = (33 + -3n) Solving 12 + 4n = 33 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 12 + 4n + 3n = 33 + -3n + 3n Combine like terms: 4n + 3n = 7n 12 + 7n = 33 + -3n + 3n Combine like terms: -3n + 3n = 0 12 + 7n = 33 + 0 12 + 7n = 33 Add '-12' to each side of the equation. 12 + -12 + 7n = 33 + -12 Combine like terms: 12 + -12 = 0 0 + 7n = 33 + -12 7n = 33 + -12 Combine like terms: 33 + -12 = 21 7n = 21 Divide each side by '7'. n = 3 Simplifying n = 3
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