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Simplifying 3b + 4(2b + 4) = 5b + 4 Reorder the terms: 3b + 4(4 + 2b) = 5b + 4 3b + (4 * 4 + 2b * 4) = 5b + 4 3b + (16 + 8b) = 5b + 4 Reorder the terms: 16 + 3b + 8b = 5b + 4 Combine like terms: 3b + 8b = 11b 16 + 11b = 5b + 4 Reorder the terms: 16 + 11b = 4 + 5b Solving 16 + 11b = 4 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 16 + 11b + -5b = 4 + 5b + -5b Combine like terms: 11b + -5b = 6b 16 + 6b = 4 + 5b + -5b Combine like terms: 5b + -5b = 0 16 + 6b = 4 + 0 16 + 6b = 4 Add '-16' to each side of the equation. 16 + -16 + 6b = 4 + -16 Combine like terms: 16 + -16 = 0 0 + 6b = 4 + -16 6b = 4 + -16 Combine like terms: 4 + -16 = -12 6b = -12 Divide each side by '6'. b = -2 Simplifying b = -2
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