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Simplifying b + 84 = -5b + -6 Reorder the terms: 84 + b = -5b + -6 Reorder the terms: 84 + b = -6 + -5b Solving 84 + b = -6 + -5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5b' to each side of the equation. 84 + b + 5b = -6 + -5b + 5b Combine like terms: b + 5b = 6b 84 + 6b = -6 + -5b + 5b Combine like terms: -5b + 5b = 0 84 + 6b = -6 + 0 84 + 6b = -6 Add '-84' to each side of the equation. 84 + -84 + 6b = -6 + -84 Combine like terms: 84 + -84 = 0 0 + 6b = -6 + -84 6b = -6 + -84 Combine like terms: -6 + -84 = -90 6b = -90 Divide each side by '6'. b = -15 Simplifying b = -15
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