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Simplifying 2(n + 7) = 3(n + 6) Reorder the terms: 2(7 + n) = 3(n + 6) (7 * 2 + n * 2) = 3(n + 6) (14 + 2n) = 3(n + 6) Reorder the terms: 14 + 2n = 3(6 + n) 14 + 2n = (6 * 3 + n * 3) 14 + 2n = (18 + 3n) Solving 14 + 2n = 18 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 14 + 2n + -3n = 18 + 3n + -3n Combine like terms: 2n + -3n = -1n 14 + -1n = 18 + 3n + -3n Combine like terms: 3n + -3n = 0 14 + -1n = 18 + 0 14 + -1n = 18 Add '-14' to each side of the equation. 14 + -14 + -1n = 18 + -14 Combine like terms: 14 + -14 = 0 0 + -1n = 18 + -14 -1n = 18 + -14 Combine like terms: 18 + -14 = 4 -1n = 4 Divide each side by '-1'. n = -4 Simplifying n = -4
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