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Simplifying -27 + -8n = 4(7 + -4n) + -7 -27 + -8n = (7 * 4 + -4n * 4) + -7 -27 + -8n = (28 + -16n) + -7 Reorder the terms: -27 + -8n = 28 + -7 + -16n Combine like terms: 28 + -7 = 21 -27 + -8n = 21 + -16n Solving -27 + -8n = 21 + -16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '16n' to each side of the equation. -27 + -8n + 16n = 21 + -16n + 16n Combine like terms: -8n + 16n = 8n -27 + 8n = 21 + -16n + 16n Combine like terms: -16n + 16n = 0 -27 + 8n = 21 + 0 -27 + 8n = 21 Add '27' to each side of the equation. -27 + 27 + 8n = 21 + 27 Combine like terms: -27 + 27 = 0 0 + 8n = 21 + 27 8n = 21 + 27 Combine like terms: 21 + 27 = 48 8n = 48 Divide each side by '8'. n = 6 Simplifying n = 6
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