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