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Simplifying 7(3n + 3) = 2(7n + -3) + 8n Reorder the terms: 7(3 + 3n) = 2(7n + -3) + 8n (3 * 7 + 3n * 7) = 2(7n + -3) + 8n (21 + 21n) = 2(7n + -3) + 8n Reorder the terms: 21 + 21n = 2(-3 + 7n) + 8n 21 + 21n = (-3 * 2 + 7n * 2) + 8n 21 + 21n = (-6 + 14n) + 8n Combine like terms: 14n + 8n = 22n 21 + 21n = -6 + 22n Solving 21 + 21n = -6 + 22n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-22n' to each side of the equation. 21 + 21n + -22n = -6 + 22n + -22n Combine like terms: 21n + -22n = -1n 21 + -1n = -6 + 22n + -22n Combine like terms: 22n + -22n = 0 21 + -1n = -6 + 0 21 + -1n = -6 Add '-21' to each side of the equation. 21 + -21 + -1n = -6 + -21 Combine like terms: 21 + -21 = 0 0 + -1n = -6 + -21 -1n = -6 + -21 Combine like terms: -6 + -21 = -27 -1n = -27 Divide each side by '-1'. n = 27 Simplifying n = 27
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