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Simplifying 0.75(4 + b) = 8 + b (4 * 0.75 + b * 0.75) = 8 + b (3 + 0.75b) = 8 + b Solving 3 + 0.75b = 8 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 3 + 0.75b + -1b = 8 + b + -1b Combine like terms: 0.75b + -1b = -0.25b 3 + -0.25b = 8 + b + -1b Combine like terms: b + -1b = 0 3 + -0.25b = 8 + 0 3 + -0.25b = 8 Add '-3' to each side of the equation. 3 + -3 + -0.25b = 8 + -3 Combine like terms: 3 + -3 = 0 0 + -0.25b = 8 + -3 -0.25b = 8 + -3 Combine like terms: 8 + -3 = 5 -0.25b = 5 Divide each side by '-0.25'. b = -20 Simplifying b = -20
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