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Simplifying 2b + 10 = 3b + 9 Reorder the terms: 10 + 2b = 3b + 9 Reorder the terms: 10 + 2b = 9 + 3b Solving 10 + 2b = 9 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 10 + 2b + -3b = 9 + 3b + -3b Combine like terms: 2b + -3b = -1b 10 + -1b = 9 + 3b + -3b Combine like terms: 3b + -3b = 0 10 + -1b = 9 + 0 10 + -1b = 9 Add '-10' to each side of the equation. 10 + -10 + -1b = 9 + -10 Combine like terms: 10 + -10 = 0 0 + -1b = 9 + -10 -1b = 9 + -10 Combine like terms: 9 + -10 = -1 -1b = -1 Divide each side by '-1'. b = 1 Simplifying b = 1
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