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Simplifying 8(6 + b) + -8 + 0.2 = 0.2b + 0.5(4 + -5) (6 * 8 + b * 8) + -8 + 0.2 = 0.2b + 0.5(4 + -5) (48 + 8b) + -8 + 0.2 = 0.2b + 0.5(4 + -5) Reorder the terms: 48 + -8 + 0.2 + 8b = 0.2b + 0.5(4 + -5) Combine like terms: 48 + -8 = 40 40 + 0.2 + 8b = 0.2b + 0.5(4 + -5) Combine like terms: 40 + 0.2 = 40.2 40.2 + 8b = 0.2b + 0.5(4 + -5) Combine like terms: 4 + -5 = -1 40.2 + 8b = 0.2b + 0.5(-1) Multiply 0.5 * -1 40.2 + 8b = 0.2b + -0.5 Reorder the terms: 40.2 + 8b = -0.5 + 0.2b Solving 40.2 + 8b = -0.5 + 0.2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.2b' to each side of the equation. 40.2 + 8b + -0.2b = -0.5 + 0.2b + -0.2b Combine like terms: 8b + -0.2b = 7.8b 40.2 + 7.8b = -0.5 + 0.2b + -0.2b Combine like terms: 0.2b + -0.2b = 0.0 40.2 + 7.8b = -0.5 + 0.0 40.2 + 7.8b = -0.5 Add '-40.2' to each side of the equation. 40.2 + -40.2 + 7.8b = -0.5 + -40.2 Combine like terms: 40.2 + -40.2 = 0.0 0.0 + 7.8b = -0.5 + -40.2 7.8b = -0.5 + -40.2 Combine like terms: -0.5 + -40.2 = -40.7 7.8b = -40.7 Divide each side by '7.8'. b = -5.217948718 Simplifying b = -5.217948718
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