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Simplifying a + a + 3(a + -7 + 11) + 5a = 0 Reorder the terms: a + a + 3(-7 + 11 + a) + 5a = 0 Combine like terms: -7 + 11 = 4 a + a + 3(4 + a) + 5a = 0 a + a + (4 * 3 + a * 3) + 5a = 0 a + a + (12 + 3a) + 5a = 0 Reorder the terms: 12 + a + a + 3a + 5a = 0 Combine like terms: a + a = 2a 12 + 2a + 3a + 5a = 0 Combine like terms: 2a + 3a = 5a 12 + 5a + 5a = 0 Combine like terms: 5a + 5a = 10a 12 + 10a = 0 Solving 12 + 10a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 10a = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 10a = 0 + -12 10a = 0 + -12 Combine like terms: 0 + -12 = -12 10a = -12 Divide each side by '10'. a = -1.2 Simplifying a = -1.2
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