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Simplifying 12 + 4n = 6(n + -2) Reorder the terms: 12 + 4n = 6(-2 + n) 12 + 4n = (-2 * 6 + n * 6) 12 + 4n = (-12 + 6n) Solving 12 + 4n = -12 + 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. 12 + 4n + -6n = -12 + 6n + -6n Combine like terms: 4n + -6n = -2n 12 + -2n = -12 + 6n + -6n Combine like terms: 6n + -6n = 0 12 + -2n = -12 + 0 12 + -2n = -12 Add '-12' to each side of the equation. 12 + -12 + -2n = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -2n = -12 + -12 -2n = -12 + -12 Combine like terms: -12 + -12 = -24 -2n = -24 Divide each side by '-2'. n = 12 Simplifying n = 12
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