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Simplifying 2(2.5b + 4) + -1(2 + 0.5b) = 0 Reorder the terms: 2(4 + 2.5b) + -1(2 + 0.5b) = 0 (4 * 2 + 2.5b * 2) + -1(2 + 0.5b) = 0 (8 + 5b) + -1(2 + 0.5b) = 0 8 + 5b + (2 * -1 + 0.5b * -1) = 0 8 + 5b + (-2 + -0.5b) = 0 Reorder the terms: 8 + -2 + 5b + -0.5b = 0 Combine like terms: 8 + -2 = 6 6 + 5b + -0.5b = 0 Combine like terms: 5b + -0.5b = 4.5b 6 + 4.5b = 0 Solving 6 + 4.5b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 4.5b = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 4.5b = 0 + -6 4.5b = 0 + -6 Combine like terms: 0 + -6 = -6 4.5b = -6 Divide each side by '4.5'. b = -1.333333333 Simplifying b = -1.333333333
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