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Simplifying 21(b + 12) + 6 = 9(b + -2) + 9b Reorder the terms: 21(12 + b) + 6 = 9(b + -2) + 9b (12 * 21 + b * 21) + 6 = 9(b + -2) + 9b (252 + 21b) + 6 = 9(b + -2) + 9b Reorder the terms: 252 + 6 + 21b = 9(b + -2) + 9b Combine like terms: 252 + 6 = 258 258 + 21b = 9(b + -2) + 9b Reorder the terms: 258 + 21b = 9(-2 + b) + 9b 258 + 21b = (-2 * 9 + b * 9) + 9b 258 + 21b = (-18 + 9b) + 9b Combine like terms: 9b + 9b = 18b 258 + 21b = -18 + 18b Solving 258 + 21b = -18 + 18b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-18b' to each side of the equation. 258 + 21b + -18b = -18 + 18b + -18b Combine like terms: 21b + -18b = 3b 258 + 3b = -18 + 18b + -18b Combine like terms: 18b + -18b = 0 258 + 3b = -18 + 0 258 + 3b = -18 Add '-258' to each side of the equation. 258 + -258 + 3b = -18 + -258 Combine like terms: 258 + -258 = 0 0 + 3b = -18 + -258 3b = -18 + -258 Combine like terms: -18 + -258 = -276 3b = -276 Divide each side by '3'. b = -92 Simplifying b = -92
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