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Simplifying 2(b + 9) = 3(b + -23) Reorder the terms: 2(9 + b) = 3(b + -23) (9 * 2 + b * 2) = 3(b + -23) (18 + 2b) = 3(b + -23) Reorder the terms: 18 + 2b = 3(-23 + b) 18 + 2b = (-23 * 3 + b * 3) 18 + 2b = (-69 + 3b) Solving 18 + 2b = -69 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 18 + 2b + -3b = -69 + 3b + -3b Combine like terms: 2b + -3b = -1b 18 + -1b = -69 + 3b + -3b Combine like terms: 3b + -3b = 0 18 + -1b = -69 + 0 18 + -1b = -69 Add '-18' to each side of the equation. 18 + -18 + -1b = -69 + -18 Combine like terms: 18 + -18 = 0 0 + -1b = -69 + -18 -1b = -69 + -18 Combine like terms: -69 + -18 = -87 -1b = -87 Divide each side by '-1'. b = 87 Simplifying b = 87
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