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Simplifying -4(-6 + -1b) = 0.3(b + 17) (-6 * -4 + -1b * -4) = 0.3(b + 17) (24 + 4b) = 0.3(b + 17) Reorder the terms: 24 + 4b = 0.3(17 + b) 24 + 4b = (17 * 0.3 + b * 0.3) 24 + 4b = (5.1 + 0.3b) Solving 24 + 4b = 5.1 + 0.3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.3b' to each side of the equation. 24 + 4b + -0.3b = 5.1 + 0.3b + -0.3b Combine like terms: 4b + -0.3b = 3.7b 24 + 3.7b = 5.1 + 0.3b + -0.3b Combine like terms: 0.3b + -0.3b = 0.0 24 + 3.7b = 5.1 + 0.0 24 + 3.7b = 5.1 Add '-24' to each side of the equation. 24 + -24 + 3.7b = 5.1 + -24 Combine like terms: 24 + -24 = 0 0 + 3.7b = 5.1 + -24 3.7b = 5.1 + -24 Combine like terms: 5.1 + -24 = -18.9 3.7b = -18.9 Divide each side by '3.7'. b = -5.108108108 Simplifying b = -5.108108108
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