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Simplifying 9 = 8n + -1(2b + -3) Reorder the terms: 9 = 8n + -1(-3 + 2b) 9 = 8n + (-3 * -1 + 2b * -1) 9 = 8n + (3 + -2b) Reorder the terms: 9 = 3 + -2b + 8n Solving 9 = 3 + -2b + 8n Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. 9 + 2b = 3 + -2b + 2b + 8n Combine like terms: -2b + 2b = 0 9 + 2b = 3 + 0 + 8n 9 + 2b = 3 + 8n Add '-9' to each side of the equation. 9 + -9 + 2b = 3 + -9 + 8n Combine like terms: 9 + -9 = 0 0 + 2b = 3 + -9 + 8n 2b = 3 + -9 + 8n Combine like terms: 3 + -9 = -6 2b = -6 + 8n Divide each side by '2'. b = -3 + 4n Simplifying b = -3 + 4n
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