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Simplifying -1b + 3b + -2 = 2 + -4b + 12 Reorder the terms: -2 + -1b + 3b = 2 + -4b + 12 Combine like terms: -1b + 3b = 2b -2 + 2b = 2 + -4b + 12 Reorder the terms: -2 + 2b = 2 + 12 + -4b Combine like terms: 2 + 12 = 14 -2 + 2b = 14 + -4b Solving -2 + 2b = 14 + -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. -2 + 2b + 4b = 14 + -4b + 4b Combine like terms: 2b + 4b = 6b -2 + 6b = 14 + -4b + 4b Combine like terms: -4b + 4b = 0 -2 + 6b = 14 + 0 -2 + 6b = 14 Add '2' to each side of the equation. -2 + 2 + 6b = 14 + 2 Combine like terms: -2 + 2 = 0 0 + 6b = 14 + 2 6b = 14 + 2 Combine like terms: 14 + 2 = 16 6b = 16 Divide each side by '6'. b = 2.666666667 Simplifying b = 2.666666667
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