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Simplifying 6b + 12.3 + -10.2 = 1.5 Reorder the terms: 12.3 + -10.2 + 6b = 1.5 Combine like terms: 12.3 + -10.2 = 2.1 2.1 + 6b = 1.5 Solving 2.1 + 6b = 1.5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2.1' to each side of the equation. 2.1 + -2.1 + 6b = 1.5 + -2.1 Combine like terms: 2.1 + -2.1 = 0.0 0.0 + 6b = 1.5 + -2.1 6b = 1.5 + -2.1 Combine like terms: 1.5 + -2.1 = -0.6 6b = -0.6 Divide each side by '6'. b = -0.1 Simplifying b = -0.1
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