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Simplifying 84 = 6(b + 6) Reorder the terms: 84 = 6(6 + b) 84 = (6 * 6 + b * 6) 84 = (36 + 6b) Solving 84 = 36 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 84 + -6b = 36 + 6b + -6b Combine like terms: 6b + -6b = 0 84 + -6b = 36 + 0 84 + -6b = 36 Add '-84' to each side of the equation. 84 + -84 + -6b = 36 + -84 Combine like terms: 84 + -84 = 0 0 + -6b = 36 + -84 -6b = 36 + -84 Combine like terms: 36 + -84 = -48 -6b = -48 Divide each side by '-6'. b = 8 Simplifying b = 8
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