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Simplifying 0.20(16 + -1b) + 1.00b = 0.30(16) (16 * 0.20 + -1b * 0.20) + 1.00b = 0.30(16) (3.2 + -0.2b) + 1.00b = 0.30(16) Combine like terms: -0.2b + 1.00b = 0.8b 3.2 + 0.8b = 0.30(16) Multiply 0.30 * 16 3.2 + 0.8b = 4.8 Solving 3.2 + 0.8b = 4.8 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3.2' to each side of the equation. 3.2 + -3.2 + 0.8b = 4.8 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + 0.8b = 4.8 + -3.2 0.8b = 4.8 + -3.2 Combine like terms: 4.8 + -3.2 = 1.6 0.8b = 1.6 Divide each side by '0.8'. b = 2 Simplifying b = 2
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