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