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Simplifying 2.7a + 3 = 0.6a + -10.2 Reorder the terms: 3 + 2.7a = 0.6a + -10.2 Reorder the terms: 3 + 2.7a = -10.2 + 0.6a Solving 3 + 2.7a = -10.2 + 0.6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.6a' to each side of the equation. 3 + 2.7a + -0.6a = -10.2 + 0.6a + -0.6a Combine like terms: 2.7a + -0.6a = 2.1a 3 + 2.1a = -10.2 + 0.6a + -0.6a Combine like terms: 0.6a + -0.6a = 0.0 3 + 2.1a = -10.2 + 0.0 3 + 2.1a = -10.2 Add '-3' to each side of the equation. 3 + -3 + 2.1a = -10.2 + -3 Combine like terms: 3 + -3 = 0 0 + 2.1a = -10.2 + -3 2.1a = -10.2 + -3 Combine like terms: -10.2 + -3 = -13.2 2.1a = -13.2 Divide each side by '2.1'. a = -6.285714286 Simplifying a = -6.285714286
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