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Simplifying 9(2 + b) + -4b = 3b + -10 (2 * 9 + b * 9) + -4b = 3b + -10 (18 + 9b) + -4b = 3b + -10 Combine like terms: 9b + -4b = 5b 18 + 5b = 3b + -10 Reorder the terms: 18 + 5b = -10 + 3b Solving 18 + 5b = -10 + 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 + 5b + -3b = -10 + 3b + -3b Combine like terms: 5b + -3b = 2b 18 + 2b = -10 + 3b + -3b Combine like terms: 3b + -3b = 0 18 + 2b = -10 + 0 18 + 2b = -10 Add '-18' to each side of the equation. 18 + -18 + 2b = -10 + -18 Combine like terms: 18 + -18 = 0 0 + 2b = -10 + -18 2b = -10 + -18 Combine like terms: -10 + -18 = -28 2b = -28 Divide each side by '2'. b = -14 Simplifying b = -14
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