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Simplifying 0.4(b + -6) + 2.76 = 0.2b + 0.48 Reorder the terms: 0.4(-6 + b) + 2.76 = 0.2b + 0.48 (-6 * 0.4 + b * 0.4) + 2.76 = 0.2b + 0.48 (-2.4 + 0.4b) + 2.76 = 0.2b + 0.48 Reorder the terms: -2.4 + 2.76 + 0.4b = 0.2b + 0.48 Combine like terms: -2.4 + 2.76 = 0.36 0.36 + 0.4b = 0.2b + 0.48 Reorder the terms: 0.36 + 0.4b = 0.48 + 0.2b Solving 0.36 + 0.4b = 0.48 + 0.2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.2b' to each side of the equation. 0.36 + 0.4b + -0.2b = 0.48 + 0.2b + -0.2b Combine like terms: 0.4b + -0.2b = 0.2b 0.36 + 0.2b = 0.48 + 0.2b + -0.2b Combine like terms: 0.2b + -0.2b = 0.0 0.36 + 0.2b = 0.48 + 0.0 0.36 + 0.2b = 0.48 Add '-0.36' to each side of the equation. 0.36 + -0.36 + 0.2b = 0.48 + -0.36 Combine like terms: 0.36 + -0.36 = 0.00 0.00 + 0.2b = 0.48 + -0.36 0.2b = 0.48 + -0.36 Combine like terms: 0.48 + -0.36 = 0.12 0.2b = 0.12 Divide each side by '0.2'. b = 0.6 Simplifying b = 0.6
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