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Simplifying 0.5(2.3 + -0.1) + 6a = 2 Combine like terms: 2.3 + -0.1 = 2.2 0.5(2.2) + 6a = 2 Multiply 0.5 * 2.2 1.1 + 6a = 2 Solving 1.1 + 6a = 2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1.1' to each side of the equation. 1.1 + -1.1 + 6a = 2 + -1.1 Combine like terms: 1.1 + -1.1 = 0.0 0.0 + 6a = 2 + -1.1 6a = 2 + -1.1 Combine like terms: 2 + -1.1 = 0.9 6a = 0.9 Divide each side by '6'. a = 0.15 Simplifying a = 0.15
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