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Simplifying b + 21 = 12b + -45 Reorder the terms: 21 + b = 12b + -45 Reorder the terms: 21 + b = -45 + 12b Solving 21 + b = -45 + 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 + b + -12b = -45 + 12b + -12b Combine like terms: b + -12b = -11b 21 + -11b = -45 + 12b + -12b Combine like terms: 12b + -12b = 0 21 + -11b = -45 + 0 21 + -11b = -45 Add '-21' to each side of the equation. 21 + -21 + -11b = -45 + -21 Combine like terms: 21 + -21 = 0 0 + -11b = -45 + -21 -11b = -45 + -21 Combine like terms: -45 + -21 = -66 -11b = -66 Divide each side by '-11'. b = 6 Simplifying b = 6
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