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Simplifying 0.4 + -0.1(b + -100) = 70 Reorder the terms: 0.4 + -0.1(-100 + b) = 70 0.4 + (-100 * -0.1 + b * -0.1) = 70 0.4 + (10 + -0.1b) = 70 Combine like terms: 0.4 + 10 = 10.4 10.4 + -0.1b = 70 Solving 10.4 + -0.1b = 70 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10.4' to each side of the equation. 10.4 + -10.4 + -0.1b = 70 + -10.4 Combine like terms: 10.4 + -10.4 = 0.0 0.0 + -0.1b = 70 + -10.4 -0.1b = 70 + -10.4 Combine like terms: 70 + -10.4 = 59.6 -0.1b = 59.6 Divide each side by '-0.1'. b = -596 Simplifying b = -596
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