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Simplifying 3b + 21 + -4b = 4b + 12 + -4b Reorder the terms: 21 + 3b + -4b = 4b + 12 + -4b Combine like terms: 3b + -4b = -1b 21 + -1b = 4b + 12 + -4b Reorder the terms: 21 + -1b = 12 + 4b + -4b Combine like terms: 4b + -4b = 0 21 + -1b = 12 + 0 21 + -1b = 12 Solving 21 + -1b = 12 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -1b = 12 + -21 Combine like terms: 21 + -21 = 0 0 + -1b = 12 + -21 -1b = 12 + -21 Combine like terms: 12 + -21 = -9 -1b = -9 Divide each side by '-1'. b = 9 Simplifying b = 9
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