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