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Simplifying 6(7b + 8) = -204 Reorder the terms: 6(8 + 7b) = -204 (8 * 6 + 7b * 6) = -204 (48 + 42b) = -204 Solving 48 + 42b = -204 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 42b = -204 + -48 Combine like terms: 48 + -48 = 0 0 + 42b = -204 + -48 42b = -204 + -48 Combine like terms: -204 + -48 = -252 42b = -252 Divide each side by '42'. b = -6 Simplifying b = -6
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