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Simplifying 5n + 12 = 3(2n + 4) Reorder the terms: 12 + 5n = 3(2n + 4) Reorder the terms: 12 + 5n = 3(4 + 2n) 12 + 5n = (4 * 3 + 2n * 3) 12 + 5n = (12 + 6n) Add '-12' to each side of the equation. 12 + -12 + 5n = 12 + -12 + 6n Combine like terms: 12 + -12 = 0 0 + 5n = 12 + -12 + 6n 5n = 12 + -12 + 6n Combine like terms: 12 + -12 = 0 5n = 0 + 6n 5n = 6n Solving 5n = 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 5n + -6n = 6n + -6n Combine like terms: 5n + -6n = -1n -1n = 6n + -6n Combine like terms: 6n + -6n = 0 -1n = 0 Divide each side by '-1'. n = 0 Simplifying n = 0
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