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Simplifying -4(b + 3) + -5b = -84 Reorder the terms: -4(3 + b) + -5b = -84 (3 * -4 + b * -4) + -5b = -84 (-12 + -4b) + -5b = -84 Combine like terms: -4b + -5b = -9b -12 + -9b = -84 Solving -12 + -9b = -84 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -9b = -84 + 12 Combine like terms: -12 + 12 = 0 0 + -9b = -84 + 12 -9b = -84 + 12 Combine like terms: -84 + 12 = -72 -9b = -72 Divide each side by '-9'. b = 8 Simplifying b = 8
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