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Simplifying 8b + 9.9(7.1b + 6.4) = 20.886 + 7.5b Reorder the terms: 8b + 9.9(6.4 + 7.1b) = 20.886 + 7.5b 8b + (6.4 * 9.9 + 7.1b * 9.9) = 20.886 + 7.5b 8b + (63.36 + 70.29b) = 20.886 + 7.5b Reorder the terms: 63.36 + 8b + 70.29b = 20.886 + 7.5b Combine like terms: 8b + 70.29b = 78.29b 63.36 + 78.29b = 20.886 + 7.5b Solving 63.36 + 78.29b = 20.886 + 7.5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7.5b' to each side of the equation. 63.36 + 78.29b + -7.5b = 20.886 + 7.5b + -7.5b Combine like terms: 78.29b + -7.5b = 70.79b 63.36 + 70.79b = 20.886 + 7.5b + -7.5b Combine like terms: 7.5b + -7.5b = 0.0 63.36 + 70.79b = 20.886 + 0.0 63.36 + 70.79b = 20.886 Add '-63.36' to each side of the equation. 63.36 + -63.36 + 70.79b = 20.886 + -63.36 Combine like terms: 63.36 + -63.36 = 0.00 0.00 + 70.79b = 20.886 + -63.36 70.79b = 20.886 + -63.36 Combine like terms: 20.886 + -63.36 = -42.474 70.79b = -42.474 Divide each side by '70.79'. b = -0.6 Simplifying b = -0.6
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