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Simplifying -7(b + -5) = 84 Reorder the terms: -7(-5 + b) = 84 (-5 * -7 + b * -7) = 84 (35 + -7b) = 84 Solving 35 + -7b = 84 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -7b = 84 + -35 Combine like terms: 35 + -35 = 0 0 + -7b = 84 + -35 -7b = 84 + -35 Combine like terms: 84 + -35 = 49 -7b = 49 Divide each side by '-7'. b = -7 Simplifying b = -7
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