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Simplifying 7.8a + 2 = 2.4a + -19.28 Reorder the terms: 2 + 7.8a = 2.4a + -19.28 Reorder the terms: 2 + 7.8a = -19.28 + 2.4a Solving 2 + 7.8a = -19.28 + 2.4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2.4a' to each side of the equation. 2 + 7.8a + -2.4a = -19.28 + 2.4a + -2.4a Combine like terms: 7.8a + -2.4a = 5.4a 2 + 5.4a = -19.28 + 2.4a + -2.4a Combine like terms: 2.4a + -2.4a = 0.0 2 + 5.4a = -19.28 + 0.0 2 + 5.4a = -19.28 Add '-2' to each side of the equation. 2 + -2 + 5.4a = -19.28 + -2 Combine like terms: 2 + -2 = 0 0 + 5.4a = -19.28 + -2 5.4a = -19.28 + -2 Combine like terms: -19.28 + -2 = -21.28 5.4a = -21.28 Divide each side by '5.4'. a = -3.940740741 Simplifying a = -3.940740741
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