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Simplifying 0.2(24 + -7.5a) + -6.1 = 4.1 (24 * 0.2 + -7.5a * 0.2) + -6.1 = 4.1 (4.8 + -1.5a) + -6.1 = 4.1 Reorder the terms: 4.8 + -6.1 + -1.5a = 4.1 Combine like terms: 4.8 + -6.1 = -1.3 -1.3 + -1.5a = 4.1 Solving -1.3 + -1.5a = 4.1 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1.3' to each side of the equation. -1.3 + 1.3 + -1.5a = 4.1 + 1.3 Combine like terms: -1.3 + 1.3 = 0.0 0.0 + -1.5a = 4.1 + 1.3 -1.5a = 4.1 + 1.3 Combine like terms: 4.1 + 1.3 = 5.4 -1.5a = 5.4 Divide each side by '-1.5'. a = -3.6 Simplifying a = -3.6
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