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Simplifying 3(b + 7) = 12(b + 1) Reorder the terms: 3(7 + b) = 12(b + 1) (7 * 3 + b * 3) = 12(b + 1) (21 + 3b) = 12(b + 1) Reorder the terms: 21 + 3b = 12(1 + b) 21 + 3b = (1 * 12 + b * 12) 21 + 3b = (12 + 12b) Solving 21 + 3b = 12 + 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. 21 + 3b + -12b = 12 + 12b + -12b Combine like terms: 3b + -12b = -9b 21 + -9b = 12 + 12b + -12b Combine like terms: 12b + -12b = 0 21 + -9b = 12 + 0 21 + -9b = 12 Add '-21' to each side of the equation. 21 + -21 + -9b = 12 + -21 Combine like terms: 21 + -21 = 0 0 + -9b = 12 + -21 -9b = 12 + -21 Combine like terms: 12 + -21 = -9 -9b = -9 Divide each side by '-9'. b = 1 Simplifying b = 1
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