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Simplifying 5(b + 7) = 2b + 29 Reorder the terms: 5(7 + b) = 2b + 29 (7 * 5 + b * 5) = 2b + 29 (35 + 5b) = 2b + 29 Reorder the terms: 35 + 5b = 29 + 2b Solving 35 + 5b = 29 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 35 + 5b + -2b = 29 + 2b + -2b Combine like terms: 5b + -2b = 3b 35 + 3b = 29 + 2b + -2b Combine like terms: 2b + -2b = 0 35 + 3b = 29 + 0 35 + 3b = 29 Add '-35' to each side of the equation. 35 + -35 + 3b = 29 + -35 Combine like terms: 35 + -35 = 0 0 + 3b = 29 + -35 3b = 29 + -35 Combine like terms: 29 + -35 = -6 3b = -6 Divide each side by '3'. b = -2 Simplifying b = -2
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