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