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Simplifying 3b + 12 + -2b = 32 + 26b + 10 Reorder the terms: 12 + 3b + -2b = 32 + 26b + 10 Combine like terms: 3b + -2b = 1b 12 + 1b = 32 + 26b + 10 Reorder the terms: 12 + 1b = 32 + 10 + 26b Combine like terms: 32 + 10 = 42 12 + 1b = 42 + 26b Solving 12 + 1b = 42 + 26b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-26b' to each side of the equation. 12 + 1b + -26b = 42 + 26b + -26b Combine like terms: 1b + -26b = -25b 12 + -25b = 42 + 26b + -26b Combine like terms: 26b + -26b = 0 12 + -25b = 42 + 0 12 + -25b = 42 Add '-12' to each side of the equation. 12 + -12 + -25b = 42 + -12 Combine like terms: 12 + -12 = 0 0 + -25b = 42 + -12 -25b = 42 + -12 Combine like terms: 42 + -12 = 30 -25b = 30 Divide each side by '-25'. b = -1.2 Simplifying b = -1.2
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