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Simplifying -3(3n + 6) + 2 = -21 + -8n Reorder the terms: -3(6 + 3n) + 2 = -21 + -8n (6 * -3 + 3n * -3) + 2 = -21 + -8n (-18 + -9n) + 2 = -21 + -8n Reorder the terms: -18 + 2 + -9n = -21 + -8n Combine like terms: -18 + 2 = -16 -16 + -9n = -21 + -8n Solving -16 + -9n = -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. -16 + -9n + 8n = -21 + -8n + 8n Combine like terms: -9n + 8n = -1n -16 + -1n = -21 + -8n + 8n Combine like terms: -8n + 8n = 0 -16 + -1n = -21 + 0 -16 + -1n = -21 Add '16' to each side of the equation. -16 + 16 + -1n = -21 + 16 Combine like terms: -16 + 16 = 0 0 + -1n = -21 + 16 -1n = -21 + 16 Combine like terms: -21 + 16 = -5 -1n = -5 Divide each side by '-1'. n = 5 Simplifying n = 5
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