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Simplifying 2(0.6b + -3.83) = 0.6 + 0.5b Reorder the terms: 2(-3.83 + 0.6b) = 0.6 + 0.5b (-3.83 * 2 + 0.6b * 2) = 0.6 + 0.5b (-7.66 + 1.2b) = 0.6 + 0.5b Solving -7.66 + 1.2b = 0.6 + 0.5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.5b' to each side of the equation. -7.66 + 1.2b + -0.5b = 0.6 + 0.5b + -0.5b Combine like terms: 1.2b + -0.5b = 0.7b -7.66 + 0.7b = 0.6 + 0.5b + -0.5b Combine like terms: 0.5b + -0.5b = 0.0 -7.66 + 0.7b = 0.6 + 0.0 -7.66 + 0.7b = 0.6 Add '7.66' to each side of the equation. -7.66 + 7.66 + 0.7b = 0.6 + 7.66 Combine like terms: -7.66 + 7.66 = 0.00 0.00 + 0.7b = 0.6 + 7.66 0.7b = 0.6 + 7.66 Combine like terms: 0.6 + 7.66 = 8.26 0.7b = 8.26 Divide each side by '0.7'. b = 11.8 Simplifying b = 11.8
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