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Simplifying 4.2(7.4 + -4.7b) + -0.7b = 104.03036 (7.4 * 4.2 + -4.7b * 4.2) + -0.7b = 104.03036 (31.08 + -19.74b) + -0.7b = 104.03036 Combine like terms: -19.74b + -0.7b = -20.44b 31.08 + -20.44b = 104.03036 Solving 31.08 + -20.44b = 104.03036 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-31.08' to each side of the equation. 31.08 + -31.08 + -20.44b = 104.03036 + -31.08 Combine like terms: 31.08 + -31.08 = 0.00 0.00 + -20.44b = 104.03036 + -31.08 -20.44b = 104.03036 + -31.08 Combine like terms: 104.03036 + -31.08 = 72.95036 -20.44b = 72.95036 Divide each side by '-20.44'. b = -3.569 Simplifying b = -3.569
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