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Simplifying a2 + 16a + -1 + -1a2 + -7a + 19 = 0 Reorder the terms: -1 + 19 + 16a + -7a + a2 + -1a2 = 0 Combine like terms: -1 + 19 = 18 18 + 16a + -7a + a2 + -1a2 = 0 Combine like terms: 16a + -7a = 9a 18 + 9a + a2 + -1a2 = 0 Combine like terms: a2 + -1a2 = 0 18 + 9a + 0 = 0 18 + 9a = 0 Solving 18 + 9a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 9a = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 9a = 0 + -18 9a = 0 + -18 Combine like terms: 0 + -18 = -18 9a = -18 Divide each side by '9'. a = -2 Simplifying a = -2
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