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Simplifying 10 + 2(b + 3) = 2(9b + 8) + -10b Reorder the terms: 10 + 2(3 + b) = 2(9b + 8) + -10b 10 + (3 * 2 + b * 2) = 2(9b + 8) + -10b 10 + (6 + 2b) = 2(9b + 8) + -10b Combine like terms: 10 + 6 = 16 16 + 2b = 2(9b + 8) + -10b Reorder the terms: 16 + 2b = 2(8 + 9b) + -10b 16 + 2b = (8 * 2 + 9b * 2) + -10b 16 + 2b = (16 + 18b) + -10b Combine like terms: 18b + -10b = 8b 16 + 2b = 16 + 8b Add '-16' to each side of the equation. 16 + -16 + 2b = 16 + -16 + 8b Combine like terms: 16 + -16 = 0 0 + 2b = 16 + -16 + 8b 2b = 16 + -16 + 8b Combine like terms: 16 + -16 = 0 2b = 0 + 8b 2b = 8b Solving 2b = 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. 2b + -8b = 8b + -8b Combine like terms: 2b + -8b = -6b -6b = 8b + -8b Combine like terms: 8b + -8b = 0 -6b = 0 Divide each side by '-6'. b = 0 Simplifying b = 0
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