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Simplifying 0.5b + 4 = 0.0625b + 88 Reorder the terms: 4 + 0.5b = 0.0625b + 88 Reorder the terms: 4 + 0.5b = 88 + 0.0625b Solving 4 + 0.5b = 88 + 0.0625b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.0625b' to each side of the equation. 4 + 0.5b + -0.0625b = 88 + 0.0625b + -0.0625b Combine like terms: 0.5b + -0.0625b = 0.4375b 4 + 0.4375b = 88 + 0.0625b + -0.0625b Combine like terms: 0.0625b + -0.0625b = 0.0000 4 + 0.4375b = 88 + 0.0000 4 + 0.4375b = 88 Add '-4' to each side of the equation. 4 + -4 + 0.4375b = 88 + -4 Combine like terms: 4 + -4 = 0 0 + 0.4375b = 88 + -4 0.4375b = 88 + -4 Combine like terms: 88 + -4 = 84 0.4375b = 84 Divide each side by '0.4375'. b = 192 Simplifying b = 192
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