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Simplifying -14 = 0.4[9 + -2b] -14 = [9 * 0.4 + -2b * 0.4] -14 = [3.6 + -0.8b] Solving -14 = 3.6 + -0.8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '0.8b' to each side of the equation. -14 + 0.8b = 3.6 + -0.8b + 0.8b Combine like terms: -0.8b + 0.8b = 0.0 -14 + 0.8b = 3.6 + 0.0 -14 + 0.8b = 3.6 Add '14' to each side of the equation. -14 + 14 + 0.8b = 3.6 + 14 Combine like terms: -14 + 14 = 0 0 + 0.8b = 3.6 + 14 0.8b = 3.6 + 14 Combine like terms: 3.6 + 14 = 17.6 0.8b = 17.6 Divide each side by '0.8'. b = 22 Simplifying b = 22
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