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Simplifying 2.0b + 6 = 0.5b + 15 Reorder the terms: 6 + 2.0b = 0.5b + 15 Reorder the terms: 6 + 2.0b = 15 + 0.5b Solving 6 + 2.0b = 15 + 0.5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.5b' to each side of the equation. 6 + 2.0b + -0.5b = 15 + 0.5b + -0.5b Combine like terms: 2.0b + -0.5b = 1.5b 6 + 1.5b = 15 + 0.5b + -0.5b Combine like terms: 0.5b + -0.5b = 0.0 6 + 1.5b = 15 + 0.0 6 + 1.5b = 15 Add '-6' to each side of the equation. 6 + -6 + 1.5b = 15 + -6 Combine like terms: 6 + -6 = 0 0 + 1.5b = 15 + -6 1.5b = 15 + -6 Combine like terms: 15 + -6 = 9 1.5b = 9 Divide each side by '1.5'. b = 6 Simplifying b = 6
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