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Simplifying 9b + 2 = 12b + -7 Reorder the terms: 2 + 9b = 12b + -7 Reorder the terms: 2 + 9b = -7 + 12b Solving 2 + 9b = -7 + 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. 2 + 9b + -12b = -7 + 12b + -12b Combine like terms: 9b + -12b = -3b 2 + -3b = -7 + 12b + -12b Combine like terms: 12b + -12b = 0 2 + -3b = -7 + 0 2 + -3b = -7 Add '-2' to each side of the equation. 2 + -2 + -3b = -7 + -2 Combine like terms: 2 + -2 = 0 0 + -3b = -7 + -2 -3b = -7 + -2 Combine like terms: -7 + -2 = -9 -3b = -9 Divide each side by '-3'. b = 3 Simplifying b = 3
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