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Simplifying 7(2n + -9) = -21 + 8n Reorder the terms: 7(-9 + 2n) = -21 + 8n (-9 * 7 + 2n * 7) = -21 + 8n (-63 + 14n) = -21 + 8n Solving -63 + 14n = -21 + 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. -63 + 14n + -8n = -21 + 8n + -8n Combine like terms: 14n + -8n = 6n -63 + 6n = -21 + 8n + -8n Combine like terms: 8n + -8n = 0 -63 + 6n = -21 + 0 -63 + 6n = -21 Add '63' to each side of the equation. -63 + 63 + 6n = -21 + 63 Combine like terms: -63 + 63 = 0 0 + 6n = -21 + 63 6n = -21 + 63 Combine like terms: -21 + 63 = 42 6n = 42 Divide each side by '6'. n = 7 Simplifying n = 7
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