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Simplifying -27 + -5n = -6n + -7(n + -3) Reorder the terms: -27 + -5n = -6n + -7(-3 + n) -27 + -5n = -6n + (-3 * -7 + n * -7) -27 + -5n = -6n + (21 + -7n) Reorder the terms: -27 + -5n = 21 + -6n + -7n Combine like terms: -6n + -7n = -13n -27 + -5n = 21 + -13n Solving -27 + -5n = 21 + -13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '13n' to each side of the equation. -27 + -5n + 13n = 21 + -13n + 13n Combine like terms: -5n + 13n = 8n -27 + 8n = 21 + -13n + 13n Combine like terms: -13n + 13n = 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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