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Simplifying a(a + 2) + 3a = a(a + -3) + 8 Reorder the terms: a(2 + a) + 3a = a(a + -3) + 8 (2 * a + a * a) + 3a = a(a + -3) + 8 (2a + a2) + 3a = a(a + -3) + 8 Reorder the terms: 2a + 3a + a2 = a(a + -3) + 8 Combine like terms: 2a + 3a = 5a 5a + a2 = a(a + -3) + 8 Reorder the terms: 5a + a2 = a(-3 + a) + 8 5a + a2 = (-3 * a + a * a) + 8 5a + a2 = (-3a + a2) + 8 Reorder the terms: 5a + a2 = 8 + -3a + a2 Add '-1a2' to each side of the equation. 5a + a2 + -1a2 = 8 + -3a + a2 + -1a2 Combine like terms: a2 + -1a2 = 0 5a + 0 = 8 + -3a + a2 + -1a2 5a = 8 + -3a + a2 + -1a2 Combine like terms: a2 + -1a2 = 0 5a = 8 + -3a + 0 5a = 8 + -3a Solving 5a = 8 + -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. 5a + 3a = 8 + -3a + 3a Combine like terms: 5a + 3a = 8a 8a = 8 + -3a + 3a Combine like terms: -3a + 3a = 0 8a = 8 + 0 8a = 8 Divide each side by '8'. a = 1 Simplifying a = 1
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