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Simplifying 1 + 2b + -13 = 12 + -4b + -2b Reorder the terms: 1 + -13 + 2b = 12 + -4b + -2b Combine like terms: 1 + -13 = -12 -12 + 2b = 12 + -4b + -2b Combine like terms: -4b + -2b = -6b -12 + 2b = 12 + -6b Solving -12 + 2b = 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. -12 + 2b + 6b = 12 + -6b + 6b Combine like terms: 2b + 6b = 8b -12 + 8b = 12 + -6b + 6b Combine like terms: -6b + 6b = 0 -12 + 8b = 12 + 0 -12 + 8b = 12 Add '12' to each side of the equation. -12 + 12 + 8b = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 8b = 12 + 12 8b = 12 + 12 Combine like terms: 12 + 12 = 24 8b = 24 Divide each side by '8'. b = 3 Simplifying b = 3
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