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Simplifying 3b + 2(50 + -1b) = 110 3b + (50 * 2 + -1b * 2) = 110 3b + (100 + -2b) = 110 Reorder the terms: 100 + 3b + -2b = 110 Combine like terms: 3b + -2b = 1b 100 + 1b = 110 Solving 100 + 1b = 110 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + 1b = 110 + -100 Combine like terms: 100 + -100 = 0 0 + 1b = 110 + -100 1b = 110 + -100 Combine like terms: 110 + -100 = 10 1b = 10 Divide each side by '1'. b = 10 Simplifying b = 10
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