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Simplifying 3(n + 4) = 7n + -12 Reorder the terms: 3(4 + n) = 7n + -12 (4 * 3 + n * 3) = 7n + -12 (12 + 3n) = 7n + -12 Reorder the terms: 12 + 3n = -12 + 7n Solving 12 + 3n = -12 + 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 + 3n + -7n = -12 + 7n + -7n Combine like terms: 3n + -7n = -4n 12 + -4n = -12 + 7n + -7n Combine like terms: 7n + -7n = 0 12 + -4n = -12 + 0 12 + -4n = -12 Add '-12' to each side of the equation. 12 + -12 + -4n = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -4n = -12 + -12 -4n = -12 + -12 Combine like terms: -12 + -12 = -24 -4n = -24 Divide each side by '-4'. n = 6 Simplifying n = 6
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