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Simplifying 4b + 10 = 2b + 46 Reorder the terms: 10 + 4b = 2b + 46 Reorder the terms: 10 + 4b = 46 + 2b Solving 10 + 4b = 46 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 10 + 4b + -2b = 46 + 2b + -2b Combine like terms: 4b + -2b = 2b 10 + 2b = 46 + 2b + -2b Combine like terms: 2b + -2b = 0 10 + 2b = 46 + 0 10 + 2b = 46 Add '-10' to each side of the equation. 10 + -10 + 2b = 46 + -10 Combine like terms: 10 + -10 = 0 0 + 2b = 46 + -10 2b = 46 + -10 Combine like terms: 46 + -10 = 36 2b = 36 Divide each side by '2'. b = 18 Simplifying b = 18
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