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Simplifying 0.2b + 0.1 = 0.12b + -0.06 Reorder the terms: 0.1 + 0.2b = 0.12b + -0.06 Reorder the terms: 0.1 + 0.2b = -0.06 + 0.12b Solving 0.1 + 0.2b = -0.06 + 0.12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.12b' to each side of the equation. 0.1 + 0.2b + -0.12b = -0.06 + 0.12b + -0.12b Combine like terms: 0.2b + -0.12b = 0.08b 0.1 + 0.08b = -0.06 + 0.12b + -0.12b Combine like terms: 0.12b + -0.12b = 0.00 0.1 + 0.08b = -0.06 + 0.00 0.1 + 0.08b = -0.06 Add '-0.1' to each side of the equation. 0.1 + -0.1 + 0.08b = -0.06 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + 0.08b = -0.06 + -0.1 0.08b = -0.06 + -0.1 Combine like terms: -0.06 + -0.1 = -0.16 0.08b = -0.16 Divide each side by '0.08'. b = -2 Simplifying b = -2
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