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