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Simplifying a(a + 8) + -1a(a + 3) + -23 = 3a + 11 Reorder the terms: a(8 + a) + -1a(a + 3) + -23 = 3a + 11 (8 * a + a * a) + -1a(a + 3) + -23 = 3a + 11 (8a + a2) + -1a(a + 3) + -23 = 3a + 11 Reorder the terms: 8a + a2 + -1a(3 + a) + -23 = 3a + 11 8a + a2 + (3 * -1a + a * -1a) + -23 = 3a + 11 8a + a2 + (-3a + -1a2) + -23 = 3a + 11 Reorder the terms: -23 + 8a + -3a + a2 + -1a2 = 3a + 11 Combine like terms: 8a + -3a = 5a -23 + 5a + a2 + -1a2 = 3a + 11 Combine like terms: a2 + -1a2 = 0 -23 + 5a + 0 = 3a + 11 -23 + 5a = 3a + 11 Reorder the terms: -23 + 5a = 11 + 3a Solving -23 + 5a = 11 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -23 + 5a + -3a = 11 + 3a + -3a Combine like terms: 5a + -3a = 2a -23 + 2a = 11 + 3a + -3a Combine like terms: 3a + -3a = 0 -23 + 2a = 11 + 0 -23 + 2a = 11 Add '23' to each side of the equation. -23 + 23 + 2a = 11 + 23 Combine like terms: -23 + 23 = 0 0 + 2a = 11 + 23 2a = 11 + 23 Combine like terms: 11 + 23 = 34 2a = 34 Divide each side by '2'. a = 17 Simplifying a = 17
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