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Simplifying 0.5(b + 2) + 3b = -1 Reorder the terms: 0.5(2 + b) + 3b = -1 (2 * 0.5 + b * 0.5) + 3b = -1 (1 + 0.5b) + 3b = -1 Combine like terms: 0.5b + 3b = 3.5b 1 + 3.5b = -1 Solving 1 + 3.5b = -1 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3.5b = -1 + -1 Combine like terms: 1 + -1 = 0 0 + 3.5b = -1 + -1 3.5b = -1 + -1 Combine like terms: -1 + -1 = -2 3.5b = -2 Divide each side by '3.5'. b = -0.5714285714 Simplifying b = -0.5714285714
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