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Simplifying 2n + -9 = 3(n + 6) Reorder the terms: -9 + 2n = 3(n + 6) Reorder the terms: -9 + 2n = 3(6 + n) -9 + 2n = (6 * 3 + n * 3) -9 + 2n = (18 + 3n) Solving -9 + 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. -9 + 2n + -3n = 18 + 3n + -3n Combine like terms: 2n + -3n = -1n -9 + -1n = 18 + 3n + -3n Combine like terms: 3n + -3n = 0 -9 + -1n = 18 + 0 -9 + -1n = 18 Add '9' to each side of the equation. -9 + 9 + -1n = 18 + 9 Combine like terms: -9 + 9 = 0 0 + -1n = 18 + 9 -1n = 18 + 9 Combine like terms: 18 + 9 = 27 -1n = 27 Divide each side by '-1'. n = -27 Simplifying n = -27
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