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Simplifying 3(n + 4) = 4(n + 5) Reorder the terms: 3(4 + n) = 4(n + 5) (4 * 3 + n * 3) = 4(n + 5) (12 + 3n) = 4(n + 5) Reorder the terms: 12 + 3n = 4(5 + n) 12 + 3n = (5 * 4 + n * 4) 12 + 3n = (20 + 4n) Solving 12 + 3n = 20 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 12 + 3n + -4n = 20 + 4n + -4n Combine like terms: 3n + -4n = -1n 12 + -1n = 20 + 4n + -4n Combine like terms: 4n + -4n = 0 12 + -1n = 20 + 0 12 + -1n = 20 Add '-12' to each side of the equation. 12 + -12 + -1n = 20 + -12 Combine like terms: 12 + -12 = 0 0 + -1n = 20 + -12 -1n = 20 + -12 Combine like terms: 20 + -12 = 8 -1n = 8 Divide each side by '-1'. n = -8 Simplifying n = -8
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