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Simplifying 3(2n + 4) = 7n + 4 Reorder the terms: 3(4 + 2n) = 7n + 4 (4 * 3 + 2n * 3) = 7n + 4 (12 + 6n) = 7n + 4 Reorder the terms: 12 + 6n = 4 + 7n Solving 12 + 6n = 4 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 12 + 6n + -7n = 4 + 7n + -7n Combine like terms: 6n + -7n = -1n 12 + -1n = 4 + 7n + -7n Combine like terms: 7n + -7n = 0 12 + -1n = 4 + 0 12 + -1n = 4 Add '-12' to each side of the equation. 12 + -12 + -1n = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -1n = 4 + -12 -1n = 4 + -12 Combine like terms: 4 + -12 = -8 -1n = -8 Divide each side by '-1'. n = 8 Simplifying n = 8
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