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Simplifying -12a * a + -20a + 3a * a + 38a + 36 = -9a * a + 15a Multiply a * a -12a2 + -20a + 3a * a + 38a + 36 = -9a * a + 15a Multiply a * a -12a2 + -20a + 3a2 + 38a + 36 = -9a * a + 15a Reorder the terms: 36 + -20a + 38a + -12a2 + 3a2 = -9a * a + 15a Combine like terms: -20a + 38a = 18a 36 + 18a + -12a2 + 3a2 = -9a * a + 15a Combine like terms: -12a2 + 3a2 = -9a2 36 + 18a + -9a2 = -9a * a + 15a Multiply a * a 36 + 18a + -9a2 = -9a2 + 15a Reorder the terms: 36 + 18a + -9a2 = 15a + -9a2 Add '9a2' to each side of the equation. 36 + 18a + -9a2 + 9a2 = 15a + -9a2 + 9a2 Combine like terms: -9a2 + 9a2 = 0 36 + 18a + 0 = 15a + -9a2 + 9a2 36 + 18a = 15a + -9a2 + 9a2 Combine like terms: -9a2 + 9a2 = 0 36 + 18a = 15a + 0 36 + 18a = 15a Solving 36 + 18a = 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. 36 + 18a + -15a = 15a + -15a Combine like terms: 18a + -15a = 3a 36 + 3a = 15a + -15a Combine like terms: 15a + -15a = 0 36 + 3a = 0 Add '-36' to each side of the equation. 36 + -36 + 3a = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 3a = 0 + -36 3a = 0 + -36 Combine like terms: 0 + -36 = -36 3a = -36 Divide each side by '3'. a = -12 Simplifying a = -12
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