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Simplifying 12 + 4n = 7n + -6(n + 2) Reorder the terms: 12 + 4n = 7n + -6(2 + n) 12 + 4n = 7n + (2 * -6 + n * -6) 12 + 4n = 7n + (-12 + -6n) Reorder the terms: 12 + 4n = -12 + 7n + -6n Combine like terms: 7n + -6n = 1n 12 + 4n = -12 + 1n Solving 12 + 4n = -12 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 12 + 4n + -1n = -12 + 1n + -1n Combine like terms: 4n + -1n = 3n 12 + 3n = -12 + 1n + -1n Combine like terms: 1n + -1n = 0 12 + 3n = -12 + 0 12 + 3n = -12 Add '-12' to each side of the equation. 12 + -12 + 3n = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 3n = -12 + -12 3n = -12 + -12 Combine like terms: -12 + -12 = -24 3n = -24 Divide each side by '3'. n = -8 Simplifying n = -8
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