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Simplifying 3a + 6 + 5a + -5 = 2 + -3a + -3 Reorder the terms: 6 + -5 + 3a + 5a = 2 + -3a + -3 Combine like terms: 6 + -5 = 1 1 + 3a + 5a = 2 + -3a + -3 Combine like terms: 3a + 5a = 8a 1 + 8a = 2 + -3a + -3 Reorder the terms: 1 + 8a = 2 + -3 + -3a Combine like terms: 2 + -3 = -1 1 + 8a = -1 + -3a Solving 1 + 8a = -1 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 1 + 8a + 3a = -1 + -3a + 3a Combine like terms: 8a + 3a = 11a 1 + 11a = -1 + -3a + 3a Combine like terms: -3a + 3a = 0 1 + 11a = -1 + 0 1 + 11a = -1 Add '-1' to each side of the equation. 1 + -1 + 11a = -1 + -1 Combine like terms: 1 + -1 = 0 0 + 11a = -1 + -1 11a = -1 + -1 Combine like terms: -1 + -1 = -2 11a = -2 Divide each side by '11'. a = -0.1818181818 Simplifying a = -0.1818181818
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