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Simplifying 3(n + 4) = n + -6 Reorder the terms: 3(4 + n) = n + -6 (4 * 3 + n * 3) = n + -6 (12 + 3n) = n + -6 Reorder the terms: 12 + 3n = -6 + n Solving 12 + 3n = -6 + n 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 + 3n + -1n = -6 + n + -1n Combine like terms: 3n + -1n = 2n 12 + 2n = -6 + n + -1n Combine like terms: n + -1n = 0 12 + 2n = -6 + 0 12 + 2n = -6 Add '-12' to each side of the equation. 12 + -12 + 2n = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 2n = -6 + -12 2n = -6 + -12 Combine like terms: -6 + -12 = -18 2n = -18 Divide each side by '2'. n = -9 Simplifying n = -9
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