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Simplifying 2(b + 8) * 3 + (b + 2) = 0 Reorder the terms: 2(8 + b) * 3 + (b + 2) = 0 Reorder the terms for easier multiplication: 2 * 3(8 + b) + (b + 2) = 0 Multiply 2 * 3 6(8 + b) + (b + 2) = 0 (8 * 6 + b * 6) + (b + 2) = 0 (48 + 6b) + (b + 2) = 0 Reorder the terms: 48 + 6b + (2 + b) = 0 Remove parenthesis around (2 + b) 48 + 6b + 2 + b = 0 Reorder the terms: 48 + 2 + 6b + b = 0 Combine like terms: 48 + 2 = 50 50 + 6b + b = 0 Combine like terms: 6b + b = 7b 50 + 7b = 0 Solving 50 + 7b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 7b = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 7b = 0 + -50 7b = 0 + -50 Combine like terms: 0 + -50 = -50 7b = -50 Divide each side by '7'. b = -7.142857143 Simplifying b = -7.142857143
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