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Simplifying a * a + 13 = a * a + -8a + 27 Multiply a * a a2 + 13 = a * a + -8a + 27 Reorder the terms: 13 + a2 = a * a + -8a + 27 Multiply a * a 13 + a2 = a2 + -8a + 27 Reorder the terms: 13 + a2 = 27 + -8a + a2 Add '-1a2' to each side of the equation. 13 + a2 + -1a2 = 27 + -8a + a2 + -1a2 Combine like terms: a2 + -1a2 = 0 13 + 0 = 27 + -8a + a2 + -1a2 13 = 27 + -8a + a2 + -1a2 Combine like terms: a2 + -1a2 = 0 13 = 27 + -8a + 0 13 = 27 + -8a Solving 13 = 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. 13 + 8a = 27 + -8a + 8a Combine like terms: -8a + 8a = 0 13 + 8a = 27 + 0 13 + 8a = 27 Add '-13' to each side of the equation. 13 + -13 + 8a = 27 + -13 Combine like terms: 13 + -13 = 0 0 + 8a = 27 + -13 8a = 27 + -13 Combine like terms: 27 + -13 = 14 8a = 14 Divide each side by '8'. a = 1.75 Simplifying a = 1.75
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