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Simplifying 2b + 0.8(1 + -2b) + 0.5 + 0.6B = 0 2b + (1 * 0.8 + -2b * 0.8) + 0.5 + 0.6B = 0 2b + (0.8 + -1.6b) + 0.5 + 0.6B = 0 Reorder the terms: 0.8 + 0.5 + 0.6B + 2b + -1.6b = 0 Combine like terms: 0.8 + 0.5 = 1.3 1.3 + 0.6B + 2b + -1.6b = 0 Combine like terms: 2b + -1.6b = 0.4b 1.3 + 0.6B + 0.4b = 0 Solving 1.3 + 0.6B + 0.4b = 0 Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '-1.3' to each side of the equation. 1.3 + 0.6B + -1.3 + 0.4b = 0 + -1.3 Reorder the terms: 1.3 + -1.3 + 0.6B + 0.4b = 0 + -1.3 Combine like terms: 1.3 + -1.3 = 0.0 0.0 + 0.6B + 0.4b = 0 + -1.3 0.6B + 0.4b = 0 + -1.3 Combine like terms: 0 + -1.3 = -1.3 0.6B + 0.4b = -1.3 Add '-0.4b' to each side of the equation. 0.6B + 0.4b + -0.4b = -1.3 + -0.4b Combine like terms: 0.4b + -0.4b = 0.0 0.6B + 0.0 = -1.3 + -0.4b 0.6B = -1.3 + -0.4b Divide each side by '0.6'. B = -2.166666667 + -0.6666666667b Simplifying B = -2.166666667 + -0.6666666667b
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