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Simplifying 2.1b + 5 = 1.6b + 10 Reorder the terms: 5 + 2.1b = 1.6b + 10 Reorder the terms: 5 + 2.1b = 10 + 1.6b Solving 5 + 2.1b = 10 + 1.6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1.6b' to each side of the equation. 5 + 2.1b + -1.6b = 10 + 1.6b + -1.6b Combine like terms: 2.1b + -1.6b = 0.5b 5 + 0.5b = 10 + 1.6b + -1.6b Combine like terms: 1.6b + -1.6b = 0.0 5 + 0.5b = 10 + 0.0 5 + 0.5b = 10 Add '-5' to each side of the equation. 5 + -5 + 0.5b = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 0.5b = 10 + -5 0.5b = 10 + -5 Combine like terms: 10 + -5 = 5 0.5b = 5 Divide each side by '0.5'. b = 10 Simplifying b = 10
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