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Simplifying 29(b + 6) = 5b + -6 Reorder the terms: 29(6 + b) = 5b + -6 (6 * 29 + b * 29) = 5b + -6 (174 + 29b) = 5b + -6 Reorder the terms: 174 + 29b = -6 + 5b Solving 174 + 29b = -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. 174 + 29b + -5b = -6 + 5b + -5b Combine like terms: 29b + -5b = 24b 174 + 24b = -6 + 5b + -5b Combine like terms: 5b + -5b = 0 174 + 24b = -6 + 0 174 + 24b = -6 Add '-174' to each side of the equation. 174 + -174 + 24b = -6 + -174 Combine like terms: 174 + -174 = 0 0 + 24b = -6 + -174 24b = -6 + -174 Combine like terms: -6 + -174 = -180 24b = -180 Divide each side by '24'. b = -7.5 Simplifying b = -7.5
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