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Simplifying 4(3b + 0.5) = 2(5b + 4) + 46 Reorder the terms: 4(0.5 + 3b) = 2(5b + 4) + 46 (0.5 * 4 + 3b * 4) = 2(5b + 4) + 46 (2 + 12b) = 2(5b + 4) + 46 Reorder the terms: 2 + 12b = 2(4 + 5b) + 46 2 + 12b = (4 * 2 + 5b * 2) + 46 2 + 12b = (8 + 10b) + 46 Reorder the terms: 2 + 12b = 8 + 46 + 10b Combine like terms: 8 + 46 = 54 2 + 12b = 54 + 10b Solving 2 + 12b = 54 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. 2 + 12b + -10b = 54 + 10b + -10b Combine like terms: 12b + -10b = 2b 2 + 2b = 54 + 10b + -10b Combine like terms: 10b + -10b = 0 2 + 2b = 54 + 0 2 + 2b = 54 Add '-2' to each side of the equation. 2 + -2 + 2b = 54 + -2 Combine like terms: 2 + -2 = 0 0 + 2b = 54 + -2 2b = 54 + -2 Combine like terms: 54 + -2 = 52 2b = 52 Divide each side by '2'. b = 26 Simplifying b = 26
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