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Simplifying 3b + 9 = 6b + -12 Reorder the terms: 9 + 3b = 6b + -12 Reorder the terms: 9 + 3b = -12 + 6b Solving 9 + 3b = -12 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 9 + 3b + -6b = -12 + 6b + -6b Combine like terms: 3b + -6b = -3b 9 + -3b = -12 + 6b + -6b Combine like terms: 6b + -6b = 0 9 + -3b = -12 + 0 9 + -3b = -12 Add '-9' to each side of the equation. 9 + -9 + -3b = -12 + -9 Combine like terms: 9 + -9 = 0 0 + -3b = -12 + -9 -3b = -12 + -9 Combine like terms: -12 + -9 = -21 -3b = -21 Divide each side by '-3'. b = 7 Simplifying b = 7
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