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Simplifying 1 + 2b + -13 = 12 + -4 + -2b Reorder the terms: 1 + -13 + 2b = 12 + -4 + -2b Combine like terms: 1 + -13 = -12 -12 + 2b = 12 + -4 + -2b Combine like terms: 12 + -4 = 8 -12 + 2b = 8 + -2b Solving -12 + 2b = 8 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. -12 + 2b + 2b = 8 + -2b + 2b Combine like terms: 2b + 2b = 4b -12 + 4b = 8 + -2b + 2b Combine like terms: -2b + 2b = 0 -12 + 4b = 8 + 0 -12 + 4b = 8 Add '12' to each side of the equation. -12 + 12 + 4b = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 4b = 8 + 12 4b = 8 + 12 Combine like terms: 8 + 12 = 20 4b = 20 Divide each side by '4'. b = 5 Simplifying b = 5
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