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Simplifying -6 + 6(-8b + -5) = -84 Reorder the terms: -6 + 6(-5 + -8b) = -84 -6 + (-5 * 6 + -8b * 6) = -84 -6 + (-30 + -48b) = -84 Combine like terms: -6 + -30 = -36 -36 + -48b = -84 Solving -36 + -48b = -84 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -48b = -84 + 36 Combine like terms: -36 + 36 = 0 0 + -48b = -84 + 36 -48b = -84 + 36 Combine like terms: -84 + 36 = -48 -48b = -48 Divide each side by '-48'. b = 1 Simplifying b = 1
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