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Simplifying 1.3(8 + -1b) + 3.7b = -5.2b (8 * 1.3 + -1b * 1.3) + 3.7b = -5.2b (10.4 + -1.3b) + 3.7b = -5.2b Combine like terms: -1.3b + 3.7b = 2.4b 10.4 + 2.4b = -5.2b Solving 10.4 + 2.4b = -5.2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5.2b' to each side of the equation. 10.4 + 2.4b + 5.2b = -5.2b + 5.2b Combine like terms: 2.4b + 5.2b = 7.6b 10.4 + 7.6b = -5.2b + 5.2b Combine like terms: -5.2b + 5.2b = 0.0 10.4 + 7.6b = 0.0 Add '-10.4' to each side of the equation. 10.4 + -10.4 + 7.6b = 0.0 + -10.4 Combine like terms: 10.4 + -10.4 = 0.0 0.0 + 7.6b = 0.0 + -10.4 7.6b = 0.0 + -10.4 Combine like terms: 0.0 + -10.4 = -10.4 7.6b = -10.4 Divide each side by '7.6'. b = -1.368421053 Simplifying b = -1.368421053
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