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Simplifying 0.1(a + -0.2) = 1.2 + 2.4 Reorder the terms: 0.1(-0.2 + a) = 1.2 + 2.4 (-0.2 * 0.1 + a * 0.1) = 1.2 + 2.4 (-0.02 + 0.1a) = 1.2 + 2.4 Combine like terms: 1.2 + 2.4 = 3.6 -0.02 + 0.1a = 3.6 Solving -0.02 + 0.1a = 3.6 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.02' to each side of the equation. -0.02 + 0.02 + 0.1a = 3.6 + 0.02 Combine like terms: -0.02 + 0.02 = 0.00 0.00 + 0.1a = 3.6 + 0.02 0.1a = 3.6 + 0.02 Combine like terms: 3.6 + 0.02 = 3.62 0.1a = 3.62 Divide each side by '0.1'. a = 36.2 Simplifying a = 36.2
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