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Simplifying a * a + -5 = a * a + -8a + 27 Multiply a * a a2 + -5 = a * a + -8a + 27 Reorder the terms: -5 + a2 = a * a + -8a + 27 Multiply a * a -5 + a2 = a2 + -8a + 27 Reorder the terms: -5 + a2 = 27 + -8a + a2 Add '-1a2' to each side of the equation. -5 + a2 + -1a2 = 27 + -8a + a2 + -1a2 Combine like terms: a2 + -1a2 = 0 -5 + 0 = 27 + -8a + a2 + -1a2 -5 = 27 + -8a + a2 + -1a2 Combine like terms: a2 + -1a2 = 0 -5 = 27 + -8a + 0 -5 = 27 + -8a Solving -5 = 27 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. -5 + 8a = 27 + -8a + 8a Combine like terms: -8a + 8a = 0 -5 + 8a = 27 + 0 -5 + 8a = 27 Add '5' to each side of the equation. -5 + 5 + 8a = 27 + 5 Combine like terms: -5 + 5 = 0 0 + 8a = 27 + 5 8a = 27 + 5 Combine like terms: 27 + 5 = 32 8a = 32 Divide each side by '8'. a = 4 Simplifying a = 4
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