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Simplifying 1.3(g + -8) + 3.7b = -5.2 Reorder the terms: 1.3(-8 + g) + 3.7b = -5.2 (-8 * 1.3 + g * 1.3) + 3.7b = -5.2 (-10.4 + 1.3g) + 3.7b = -5.2 Reorder the terms: -10.4 + 3.7b + 1.3g = -5.2 Solving -10.4 + 3.7b + 1.3g = -5.2 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 + 3.7b + 10.4 + 1.3g = -5.2 + 10.4 Reorder the terms: -10.4 + 10.4 + 3.7b + 1.3g = -5.2 + 10.4 Combine like terms: -10.4 + 10.4 = 0.0 0.0 + 3.7b + 1.3g = -5.2 + 10.4 3.7b + 1.3g = -5.2 + 10.4 Combine like terms: -5.2 + 10.4 = 5.2 3.7b + 1.3g = 5.2 Add '-1.3g' to each side of the equation. 3.7b + 1.3g + -1.3g = 5.2 + -1.3g Combine like terms: 1.3g + -1.3g = 0.0 3.7b + 0.0 = 5.2 + -1.3g 3.7b = 5.2 + -1.3g Divide each side by '3.7'. b = 1.405405405 + -0.3513513514g Simplifying b = 1.405405405 + -0.3513513514g
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