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Simplifying 8(3b + 1) = 4(b + 3) + 3 Reorder the terms: 8(1 + 3b) = 4(b + 3) + 3 (1 * 8 + 3b * 8) = 4(b + 3) + 3 (8 + 24b) = 4(b + 3) + 3 Reorder the terms: 8 + 24b = 4(3 + b) + 3 8 + 24b = (3 * 4 + b * 4) + 3 8 + 24b = (12 + 4b) + 3 Reorder the terms: 8 + 24b = 12 + 3 + 4b Combine like terms: 12 + 3 = 15 8 + 24b = 15 + 4b Solving 8 + 24b = 15 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 8 + 24b + -4b = 15 + 4b + -4b Combine like terms: 24b + -4b = 20b 8 + 20b = 15 + 4b + -4b Combine like terms: 4b + -4b = 0 8 + 20b = 15 + 0 8 + 20b = 15 Add '-8' to each side of the equation. 8 + -8 + 20b = 15 + -8 Combine like terms: 8 + -8 = 0 0 + 20b = 15 + -8 20b = 15 + -8 Combine like terms: 15 + -8 = 7 20b = 7 Divide each side by '20'. b = 0.35 Simplifying b = 0.35
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