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