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Simplifying 2.6b + 6 = 16 + -0.6b Reorder the terms: 6 + 2.6b = 16 + -0.6b Solving 6 + 2.6b = 16 + -0.6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '0.6b' to each side of the equation. 6 + 2.6b + 0.6b = 16 + -0.6b + 0.6b Combine like terms: 2.6b + 0.6b = 3.2b 6 + 3.2b = 16 + -0.6b + 0.6b Combine like terms: -0.6b + 0.6b = 0.0 6 + 3.2b = 16 + 0.0 6 + 3.2b = 16 Add '-6' to each side of the equation. 6 + -6 + 3.2b = 16 + -6 Combine like terms: 6 + -6 = 0 0 + 3.2b = 16 + -6 3.2b = 16 + -6 Combine like terms: 16 + -6 = 10 3.2b = 10 Divide each side by '3.2'. b = 3.125 Simplifying b = 3.125
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