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Simplifying 1.3(8 + -1b) + 307b = -502 (8 * 1.3 + -1b * 1.3) + 307b = -502 (10.4 + -1.3b) + 307b = -502 Combine like terms: -1.3b + 307b = 305.7b 10.4 + 305.7b = -502 Solving 10.4 + 305.7b = -502 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 + 305.7b = -502 + -10.4 Combine like terms: 10.4 + -10.4 = 0.0 0.0 + 305.7b = -502 + -10.4 305.7b = -502 + -10.4 Combine like terms: -502 + -10.4 = -512.4 305.7b = -512.4 Divide each side by '305.7'. b = -1.676153091 Simplifying b = -1.676153091
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