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Simplifying a + 4.3(a + 4.6) = -3.8(a + 5.3) Reorder the terms: a + 4.3(4.6 + a) = -3.8(a + 5.3) a + (4.6 * 4.3 + a * 4.3) = -3.8(a + 5.3) a + (19.78 + 4.3a) = -3.8(a + 5.3) Reorder the terms: 19.78 + a + 4.3a = -3.8(a + 5.3) Combine like terms: a + 4.3a = 5.3a 19.78 + 5.3a = -3.8(a + 5.3) Reorder the terms: 19.78 + 5.3a = -3.8(5.3 + a) 19.78 + 5.3a = (5.3 * -3.8 + a * -3.8) 19.78 + 5.3a = (-20.14 + -3.8a) Solving 19.78 + 5.3a = -20.14 + -3.8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3.8a' to each side of the equation. 19.78 + 5.3a + 3.8a = -20.14 + -3.8a + 3.8a Combine like terms: 5.3a + 3.8a = 9.1a 19.78 + 9.1a = -20.14 + -3.8a + 3.8a Combine like terms: -3.8a + 3.8a = 0.0 19.78 + 9.1a = -20.14 + 0.0 19.78 + 9.1a = -20.14 Add '-19.78' to each side of the equation. 19.78 + -19.78 + 9.1a = -20.14 + -19.78 Combine like terms: 19.78 + -19.78 = 0.00 0.00 + 9.1a = -20.14 + -19.78 9.1a = -20.14 + -19.78 Combine like terms: -20.14 + -19.78 = -39.92 9.1a = -39.92 Divide each side by '9.1'. a = -4.386813187 Simplifying a = -4.386813187
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