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Simplifying -10.5b + 15.71 = 12.28 + -12.2b + -8.64 Reorder the terms: 15.71 + -10.5b = 12.28 + -12.2b + -8.64 Reorder the terms: 15.71 + -10.5b = 12.28 + -8.64 + -12.2b Combine like terms: 12.28 + -8.64 = 3.64 15.71 + -10.5b = 3.64 + -12.2b Solving 15.71 + -10.5b = 3.64 + -12.2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12.2b' to each side of the equation. 15.71 + -10.5b + 12.2b = 3.64 + -12.2b + 12.2b Combine like terms: -10.5b + 12.2b = 1.7b 15.71 + 1.7b = 3.64 + -12.2b + 12.2b Combine like terms: -12.2b + 12.2b = 0.0 15.71 + 1.7b = 3.64 + 0.0 15.71 + 1.7b = 3.64 Add '-15.71' to each side of the equation. 15.71 + -15.71 + 1.7b = 3.64 + -15.71 Combine like terms: 15.71 + -15.71 = 0.00 0.00 + 1.7b = 3.64 + -15.71 1.7b = 3.64 + -15.71 Combine like terms: 3.64 + -15.71 = -12.07 1.7b = -12.07 Divide each side by '1.7'. b = -7.1 Simplifying b = -7.1
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