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