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Simplifying 9(b + 6) = 99(b + -3) Reorder the terms: 9(6 + b) = 99(b + -3) (6 * 9 + b * 9) = 99(b + -3) (54 + 9b) = 99(b + -3) Reorder the terms: 54 + 9b = 99(-3 + b) 54 + 9b = (-3 * 99 + b * 99) 54 + 9b = (-297 + 99b) Solving 54 + 9b = -297 + 99b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-99b' to each side of the equation. 54 + 9b + -99b = -297 + 99b + -99b Combine like terms: 9b + -99b = -90b 54 + -90b = -297 + 99b + -99b Combine like terms: 99b + -99b = 0 54 + -90b = -297 + 0 54 + -90b = -297 Add '-54' to each side of the equation. 54 + -54 + -90b = -297 + -54 Combine like terms: 54 + -54 = 0 0 + -90b = -297 + -54 -90b = -297 + -54 Combine like terms: -297 + -54 = -351 -90b = -351 Divide each side by '-90'. b = 3.9 Simplifying b = 3.9
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