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Simplifying 0.4b + -0.1(b + -100) = 70 Reorder the terms: 0.4b + -0.1(-100 + b) = 70 0.4b + (-100 * -0.1 + b * -0.1) = 70 0.4b + (10 + -0.1b) = 70 Reorder the terms: 10 + 0.4b + -0.1b = 70 Combine like terms: 0.4b + -0.1b = 0.3b 10 + 0.3b = 70 Solving 10 + 0.3b = 70 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 0.3b = 70 + -10 Combine like terms: 10 + -10 = 0 0 + 0.3b = 70 + -10 0.3b = 70 + -10 Combine like terms: 70 + -10 = 60 0.3b = 60 Divide each side by '0.3'. b = 200 Simplifying b = 200
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