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Simplifying -27 + -2n = 7n + -3(-8n + -2) Reorder the terms: -27 + -2n = 7n + -3(-2 + -8n) -27 + -2n = 7n + (-2 * -3 + -8n * -3) -27 + -2n = 7n + (6 + 24n) Reorder the terms: -27 + -2n = 6 + 7n + 24n Combine like terms: 7n + 24n = 31n -27 + -2n = 6 + 31n Solving -27 + -2n = 6 + 31n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-31n' to each side of the equation. -27 + -2n + -31n = 6 + 31n + -31n Combine like terms: -2n + -31n = -33n -27 + -33n = 6 + 31n + -31n Combine like terms: 31n + -31n = 0 -27 + -33n = 6 + 0 -27 + -33n = 6 Add '27' to each side of the equation. -27 + 27 + -33n = 6 + 27 Combine like terms: -27 + 27 = 0 0 + -33n = 6 + 27 -33n = 6 + 27 Combine like terms: 6 + 27 = 33 -33n = 33 Divide each side by '-33'. n = -1 Simplifying n = -1
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