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Simplifying -6b + -12 = 7b + 21 Reorder the terms: -12 + -6b = 7b + 21 Reorder the terms: -12 + -6b = 21 + 7b Solving -12 + -6b = 21 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -12 + -6b + -7b = 21 + 7b + -7b Combine like terms: -6b + -7b = -13b -12 + -13b = 21 + 7b + -7b Combine like terms: 7b + -7b = 0 -12 + -13b = 21 + 0 -12 + -13b = 21 Add '12' to each side of the equation. -12 + 12 + -13b = 21 + 12 Combine like terms: -12 + 12 = 0 0 + -13b = 21 + 12 -13b = 21 + 12 Combine like terms: 21 + 12 = 33 -13b = 33 Divide each side by '-13'. b = -2.538461538 Simplifying b = -2.538461538
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