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Simplifying 3(6n + 3) = -36 + 3n Reorder the terms: 3(3 + 6n) = -36 + 3n (3 * 3 + 6n * 3) = -36 + 3n (9 + 18n) = -36 + 3n Solving 9 + 18n = -36 + 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 + 18n + -3n = -36 + 3n + -3n Combine like terms: 18n + -3n = 15n 9 + 15n = -36 + 3n + -3n Combine like terms: 3n + -3n = 0 9 + 15n = -36 + 0 9 + 15n = -36 Add '-9' to each side of the equation. 9 + -9 + 15n = -36 + -9 Combine like terms: 9 + -9 = 0 0 + 15n = -36 + -9 15n = -36 + -9 Combine like terms: -36 + -9 = -45 15n = -45 Divide each side by '15'. n = -3 Simplifying n = -3
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