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Simplifying 2n + 6(-5n + 9) = 2(12 + 1) Reorder the terms: 2n + 6(9 + -5n) = 2(12 + 1) 2n + (9 * 6 + -5n * 6) = 2(12 + 1) 2n + (54 + -30n) = 2(12 + 1) Reorder the terms: 54 + 2n + -30n = 2(12 + 1) Combine like terms: 2n + -30n = -28n 54 + -28n = 2(12 + 1) Combine like terms: 12 + 1 = 13 54 + -28n = 2(13) Multiply 2 * 13 54 + -28n = 26 Solving 54 + -28n = 26 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + -28n = 26 + -54 Combine like terms: 54 + -54 = 0 0 + -28n = 26 + -54 -28n = 26 + -54 Combine like terms: 26 + -54 = -28 -28n = -28 Divide each side by '-28'. n = 1 Simplifying n = 1
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