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Simplifying 27 + -5n = -3(2n + -1) + -2n Reorder the terms: 27 + -5n = -3(-1 + 2n) + -2n 27 + -5n = (-1 * -3 + 2n * -3) + -2n 27 + -5n = (3 + -6n) + -2n Combine like terms: -6n + -2n = -8n 27 + -5n = 3 + -8n Solving 27 + -5n = 3 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. 27 + -5n + 8n = 3 + -8n + 8n Combine like terms: -5n + 8n = 3n 27 + 3n = 3 + -8n + 8n Combine like terms: -8n + 8n = 0 27 + 3n = 3 + 0 27 + 3n = 3 Add '-27' to each side of the equation. 27 + -27 + 3n = 3 + -27 Combine like terms: 27 + -27 = 0 0 + 3n = 3 + -27 3n = 3 + -27 Combine like terms: 3 + -27 = -24 3n = -24 Divide each side by '3'. n = -8 Simplifying n = -8
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