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Simplifying 1.25b + 7 = 0.875b + 19 Reorder the terms: 7 + 1.25b = 0.875b + 19 Reorder the terms: 7 + 1.25b = 19 + 0.875b Solving 7 + 1.25b = 19 + 0.875b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.875b' to each side of the equation. 7 + 1.25b + -0.875b = 19 + 0.875b + -0.875b Combine like terms: 1.25b + -0.875b = 0.375b 7 + 0.375b = 19 + 0.875b + -0.875b Combine like terms: 0.875b + -0.875b = 0.000 7 + 0.375b = 19 + 0.000 7 + 0.375b = 19 Add '-7' to each side of the equation. 7 + -7 + 0.375b = 19 + -7 Combine like terms: 7 + -7 = 0 0 + 0.375b = 19 + -7 0.375b = 19 + -7 Combine like terms: 19 + -7 = 12 0.375b = 12 Divide each side by '0.375'. b = 32 Simplifying b = 32
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