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Simplifying 8(4 + 6b) + 2 = -206 (4 * 8 + 6b * 8) + 2 = -206 (32 + 48b) + 2 = -206 Reorder the terms: 32 + 2 + 48b = -206 Combine like terms: 32 + 2 = 34 34 + 48b = -206 Solving 34 + 48b = -206 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 48b = -206 + -34 Combine like terms: 34 + -34 = 0 0 + 48b = -206 + -34 48b = -206 + -34 Combine like terms: -206 + -34 = -240 48b = -240 Divide each side by '48'. b = -5 Simplifying b = -5
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