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Simplifying 3(b + 6) = 29 + -8b Reorder the terms: 3(6 + b) = 29 + -8b (6 * 3 + b * 3) = 29 + -8b (18 + 3b) = 29 + -8b Solving 18 + 3b = 29 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. 18 + 3b + 8b = 29 + -8b + 8b Combine like terms: 3b + 8b = 11b 18 + 11b = 29 + -8b + 8b Combine like terms: -8b + 8b = 0 18 + 11b = 29 + 0 18 + 11b = 29 Add '-18' to each side of the equation. 18 + -18 + 11b = 29 + -18 Combine like terms: 18 + -18 = 0 0 + 11b = 29 + -18 11b = 29 + -18 Combine like terms: 29 + -18 = 11 11b = 11 Divide each side by '11'. b = 1 Simplifying b = 1
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