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Simplifying -5 + 20(10b + -2) = 31 Reorder the terms: -5 + 20(-2 + 10b) = 31 -5 + (-2 * 20 + 10b * 20) = 31 -5 + (-40 + 200b) = 31 Combine like terms: -5 + -40 = -45 -45 + 200b = 31 Solving -45 + 200b = 31 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 200b = 31 + 45 Combine like terms: -45 + 45 = 0 0 + 200b = 31 + 45 200b = 31 + 45 Combine like terms: 31 + 45 = 76 200b = 76 Divide each side by '200'. b = 0.38 Simplifying b = 0.38
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