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Simplifying 12 + b = 2b + -6 Reorder the terms: 12 + b = -6 + 2b Solving 12 + b = -6 + 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 + b + -2b = -6 + 2b + -2b Combine like terms: b + -2b = -1b 12 + -1b = -6 + 2b + -2b Combine like terms: 2b + -2b = 0 12 + -1b = -6 + 0 12 + -1b = -6 Add '-12' to each side of the equation. 12 + -12 + -1b = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -1b = -6 + -12 -1b = -6 + -12 Combine like terms: -6 + -12 = -18 -1b = -18 Divide each side by '-1'. b = 18 Simplifying b = 18
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