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Simplifying 3 + -4(2n + 6) = -27 + -5n Reorder the terms: 3 + -4(6 + 2n) = -27 + -5n 3 + (6 * -4 + 2n * -4) = -27 + -5n 3 + (-24 + -8n) = -27 + -5n Combine like terms: 3 + -24 = -21 -21 + -8n = -27 + -5n Solving -21 + -8n = -27 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -21 + -8n + 5n = -27 + -5n + 5n Combine like terms: -8n + 5n = -3n -21 + -3n = -27 + -5n + 5n Combine like terms: -5n + 5n = 0 -21 + -3n = -27 + 0 -21 + -3n = -27 Add '21' to each side of the equation. -21 + 21 + -3n = -27 + 21 Combine like terms: -21 + 21 = 0 0 + -3n = -27 + 21 -3n = -27 + 21 Combine like terms: -27 + 21 = -6 -3n = -6 Divide each side by '-3'. n = 2 Simplifying n = 2
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