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Simplifying 5(a + 2) + -1(-6(a + 2)) = 0 Reorder the terms: 5(2 + a) + -1(-6(a + 2)) = 0 (2 * 5 + a * 5) + -1(-6(a + 2)) = 0 (10 + 5a) + -1(-6(a + 2)) = 0 Reorder the terms: 10 + 5a + -1(-6(2 + a)) = 0 10 + 5a + -1((2 * -6 + a * -6)) = 0 10 + 5a + -1((-12 + -6a)) = 0 10 + 5a + (-12 * -1 + -6a * -1) = 0 10 + 5a + (12 + 6a) = 0 Reorder the terms: 10 + 12 + 5a + 6a = 0 Combine like terms: 10 + 12 = 22 22 + 5a + 6a = 0 Combine like terms: 5a + 6a = 11a 22 + 11a = 0 Solving 22 + 11a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 11a = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 11a = 0 + -22 11a = 0 + -22 Combine like terms: 0 + -22 = -22 11a = -22 Divide each side by '11'. a = -2 Simplifying a = -2
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