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Simplifying a * a + a + 10 = a * a + -2a + -8 Multiply a * a a2 + a + 10 = a * a + -2a + -8 Reorder the terms: 10 + a + a2 = a * a + -2a + -8 Multiply a * a 10 + a + a2 = a2 + -2a + -8 Reorder the terms: 10 + a + a2 = -8 + -2a + a2 Add '-1a2' to each side of the equation. 10 + a + a2 + -1a2 = -8 + -2a + a2 + -1a2 Combine like terms: a2 + -1a2 = 0 10 + a + 0 = -8 + -2a + a2 + -1a2 10 + a = -8 + -2a + a2 + -1a2 Combine like terms: a2 + -1a2 = 0 10 + a = -8 + -2a + 0 10 + a = -8 + -2a Solving 10 + a = -8 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 10 + a + 2a = -8 + -2a + 2a Combine like terms: a + 2a = 3a 10 + 3a = -8 + -2a + 2a Combine like terms: -2a + 2a = 0 10 + 3a = -8 + 0 10 + 3a = -8 Add '-10' to each side of the equation. 10 + -10 + 3a = -8 + -10 Combine like terms: 10 + -10 = 0 0 + 3a = -8 + -10 3a = -8 + -10 Combine like terms: -8 + -10 = -18 3a = -18 Divide each side by '3'. a = -6 Simplifying a = -6
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