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Simplifying 1 + 2b + -13 = 12 + -4b + -2 Reorder the terms: 1 + -13 + 2b = 12 + -4b + -2 Combine like terms: 1 + -13 = -12 -12 + 2b = 12 + -4b + -2 Reorder the terms: -12 + 2b = 12 + -2 + -4b Combine like terms: 12 + -2 = 10 -12 + 2b = 10 + -4b Solving -12 + 2b = 10 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. -12 + 2b + 4b = 10 + -4b + 4b Combine like terms: 2b + 4b = 6b -12 + 6b = 10 + -4b + 4b Combine like terms: -4b + 4b = 0 -12 + 6b = 10 + 0 -12 + 6b = 10 Add '12' to each side of the equation. -12 + 12 + 6b = 10 + 12 Combine like terms: -12 + 12 = 0 0 + 6b = 10 + 12 6b = 10 + 12 Combine like terms: 10 + 12 = 22 6b = 22 Divide each side by '6'. b = 3.666666667 Simplifying b = 3.666666667
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