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Simplifying 2(8b + 5) = 5b + 9 Reorder the terms: 2(5 + 8b) = 5b + 9 (5 * 2 + 8b * 2) = 5b + 9 (10 + 16b) = 5b + 9 Reorder the terms: 10 + 16b = 9 + 5b Solving 10 + 16b = 9 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 10 + 16b + -5b = 9 + 5b + -5b Combine like terms: 16b + -5b = 11b 10 + 11b = 9 + 5b + -5b Combine like terms: 5b + -5b = 0 10 + 11b = 9 + 0 10 + 11b = 9 Add '-10' to each side of the equation. 10 + -10 + 11b = 9 + -10 Combine like terms: 10 + -10 = 0 0 + 11b = 9 + -10 11b = 9 + -10 Combine like terms: 9 + -10 = -1 11b = -1 Divide each side by '11'. b = -0.09090909091 Simplifying b = -0.09090909091
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