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Simplifying -6b + 5(-6b + 6) = 282 Reorder the terms: -6b + 5(6 + -6b) = 282 -6b + (6 * 5 + -6b * 5) = 282 -6b + (30 + -30b) = 282 Reorder the terms: 30 + -6b + -30b = 282 Combine like terms: -6b + -30b = -36b 30 + -36b = 282 Solving 30 + -36b = 282 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -36b = 282 + -30 Combine like terms: 30 + -30 = 0 0 + -36b = 282 + -30 -36b = 282 + -30 Combine like terms: 282 + -30 = 252 -36b = 252 Divide each side by '-36'. b = -7 Simplifying b = -7
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