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Simplifying 2b + 4(3b + 8) = b + -7 Reorder the terms: 2b + 4(8 + 3b) = b + -7 2b + (8 * 4 + 3b * 4) = b + -7 2b + (32 + 12b) = b + -7 Reorder the terms: 32 + 2b + 12b = b + -7 Combine like terms: 2b + 12b = 14b 32 + 14b = b + -7 Reorder the terms: 32 + 14b = -7 + b Solving 32 + 14b = -7 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 32 + 14b + -1b = -7 + b + -1b Combine like terms: 14b + -1b = 13b 32 + 13b = -7 + b + -1b Combine like terms: b + -1b = 0 32 + 13b = -7 + 0 32 + 13b = -7 Add '-32' to each side of the equation. 32 + -32 + 13b = -7 + -32 Combine like terms: 32 + -32 = 0 0 + 13b = -7 + -32 13b = -7 + -32 Combine like terms: -7 + -32 = -39 13b = -39 Divide each side by '13'. b = -3 Simplifying b = -3
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