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Simplifying 5.2b + -0.6b + 0.92 = -0.08 + 4.4b Reorder the terms: 0.92 + 5.2b + -0.6b = -0.08 + 4.4b Combine like terms: 5.2b + -0.6b = 4.6b 0.92 + 4.6b = -0.08 + 4.4b Solving 0.92 + 4.6b = -0.08 + 4.4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4.4b' to each side of the equation. 0.92 + 4.6b + -4.4b = -0.08 + 4.4b + -4.4b Combine like terms: 4.6b + -4.4b = 0.2b 0.92 + 0.2b = -0.08 + 4.4b + -4.4b Combine like terms: 4.4b + -4.4b = 0.0 0.92 + 0.2b = -0.08 + 0.0 0.92 + 0.2b = -0.08 Add '-0.92' to each side of the equation. 0.92 + -0.92 + 0.2b = -0.08 + -0.92 Combine like terms: 0.92 + -0.92 = 0.00 0.00 + 0.2b = -0.08 + -0.92 0.2b = -0.08 + -0.92 Combine like terms: -0.08 + -0.92 = -1 0.2b = -1 Divide each side by '0.2'. b = -5 Simplifying b = -5
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