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Simplifying 3[1 + 4n] + -2[5n + -3] = -36 [1 * 3 + 4n * 3] + -2[5n + -3] = -36 [3 + 12n] + -2[5n + -3] = -36 Reorder the terms: 3 + 12n + -2[-3 + 5n] = -36 3 + 12n + [-3 * -2 + 5n * -2] = -36 3 + 12n + [6 + -10n] = -36 Reorder the terms: 3 + 6 + 12n + -10n = -36 Combine like terms: 3 + 6 = 9 9 + 12n + -10n = -36 Combine like terms: 12n + -10n = 2n 9 + 2n = -36 Solving 9 + 2n = -36 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2n = -36 + -9 Combine like terms: 9 + -9 = 0 0 + 2n = -36 + -9 2n = -36 + -9 Combine like terms: -36 + -9 = -45 2n = -45 Divide each side by '2'. n = -22.5 Simplifying n = -22.5
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