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Simplifying 3 + 3(7b + 4) = 4(2b + -6) Reorder the terms: 3 + 3(4 + 7b) = 4(2b + -6) 3 + (4 * 3 + 7b * 3) = 4(2b + -6) 3 + (12 + 21b) = 4(2b + -6) Combine like terms: 3 + 12 = 15 15 + 21b = 4(2b + -6) Reorder the terms: 15 + 21b = 4(-6 + 2b) 15 + 21b = (-6 * 4 + 2b * 4) 15 + 21b = (-24 + 8b) Solving 15 + 21b = -24 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. 15 + 21b + -8b = -24 + 8b + -8b Combine like terms: 21b + -8b = 13b 15 + 13b = -24 + 8b + -8b Combine like terms: 8b + -8b = 0 15 + 13b = -24 + 0 15 + 13b = -24 Add '-15' to each side of the equation. 15 + -15 + 13b = -24 + -15 Combine like terms: 15 + -15 = 0 0 + 13b = -24 + -15 13b = -24 + -15 Combine like terms: -24 + -15 = -39 13b = -39 Divide each side by '13'. b = -3 Simplifying b = -3
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