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Simplifying 10b + 3b + -13b + 3b + 2b + 1 = 6 Reorder the terms: 1 + 10b + 3b + -13b + 3b + 2b = 6 Combine like terms: 10b + 3b = 13b 1 + 13b + -13b + 3b + 2b = 6 Combine like terms: 13b + -13b = 0 1 + 0 + 3b + 2b = 6 1 + 3b + 2b = 6 Combine like terms: 3b + 2b = 5b 1 + 5b = 6 Solving 1 + 5b = 6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5b = 6 + -1 Combine like terms: 1 + -1 = 0 0 + 5b = 6 + -1 5b = 6 + -1 Combine like terms: 6 + -1 = 5 5b = 5 Divide each side by '5'. b = 1 Simplifying b = 1
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