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Simplifying 12 + 2n = 7n + -3(n + -4) Reorder the terms: 12 + 2n = 7n + -3(-4 + n) 12 + 2n = 7n + (-4 * -3 + n * -3) 12 + 2n = 7n + (12 + -3n) Reorder the terms: 12 + 2n = 12 + 7n + -3n Combine like terms: 7n + -3n = 4n 12 + 2n = 12 + 4n Add '-12' to each side of the equation. 12 + -12 + 2n = 12 + -12 + 4n Combine like terms: 12 + -12 = 0 0 + 2n = 12 + -12 + 4n 2n = 12 + -12 + 4n Combine like terms: 12 + -12 = 0 2n = 0 + 4n 2n = 4n Solving 2n = 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. 2n + -4n = 4n + -4n Combine like terms: 2n + -4n = -2n -2n = 4n + -4n Combine like terms: 4n + -4n = 0 -2n = 0 Divide each side by '-2'. n = 0 Simplifying n = 0
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