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Simplifying 8.97 + -10.5b + -7.3 = 13.17 + -9.5b Reorder the terms: 8.97 + -7.3 + -10.5b = 13.17 + -9.5b Combine like terms: 8.97 + -7.3 = 1.67 1.67 + -10.5b = 13.17 + -9.5b Solving 1.67 + -10.5b = 13.17 + -9.5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '9.5b' to each side of the equation. 1.67 + -10.5b + 9.5b = 13.17 + -9.5b + 9.5b Combine like terms: -10.5b + 9.5b = -1b 1.67 + -1b = 13.17 + -9.5b + 9.5b Combine like terms: -9.5b + 9.5b = 0.0 1.67 + -1b = 13.17 + 0.0 1.67 + -1b = 13.17 Add '-1.67' to each side of the equation. 1.67 + -1.67 + -1b = 13.17 + -1.67 Combine like terms: 1.67 + -1.67 = 0.00 0.00 + -1b = 13.17 + -1.67 -1b = 13.17 + -1.67 Combine like terms: 13.17 + -1.67 = 11.5 -1b = 11.5 Divide each side by '-1'. b = -11.5 Simplifying b = -11.5
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