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Simplifying a + -1.2(0.4 + -0.1a) = 2.88 a + (0.4 * -1.2 + -0.1a * -1.2) = 2.88 a + (-0.48 + 0.12a) = 2.88 Reorder the terms: -0.48 + a + 0.12a = 2.88 Combine like terms: a + 0.12a = 1.12a -0.48 + 1.12a = 2.88 Solving -0.48 + 1.12a = 2.88 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.48' to each side of the equation. -0.48 + 0.48 + 1.12a = 2.88 + 0.48 Combine like terms: -0.48 + 0.48 = 0.00 0.00 + 1.12a = 2.88 + 0.48 1.12a = 2.88 + 0.48 Combine like terms: 2.88 + 0.48 = 3.36 1.12a = 3.36 Divide each side by '1.12'. a = 3 Simplifying a = 3
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