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Simplifying 0.4b + -8 = -0.2b + 7 Reorder the terms: -8 + 0.4b = -0.2b + 7 Reorder the terms: -8 + 0.4b = 7 + -0.2b Solving -8 + 0.4b = 7 + -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. -8 + 0.4b + 0.2b = 7 + -0.2b + 0.2b Combine like terms: 0.4b + 0.2b = 0.6b -8 + 0.6b = 7 + -0.2b + 0.2b Combine like terms: -0.2b + 0.2b = 0.0 -8 + 0.6b = 7 + 0.0 -8 + 0.6b = 7 Add '8' to each side of the equation. -8 + 8 + 0.6b = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 0.6b = 7 + 8 0.6b = 7 + 8 Combine like terms: 7 + 8 = 15 0.6b = 15 Divide each side by '0.6'. b = 25 Simplifying b = 25
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