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Simplifying 3a(a2 + 5) + -11 = a(3a2 + 4) Reorder the terms: 3a(5 + a2) + -11 = a(3a2 + 4) (5 * 3a + a2 * 3a) + -11 = a(3a2 + 4) (15a + 3a3) + -11 = a(3a2 + 4) Reorder the terms: -11 + 15a + 3a3 = a(3a2 + 4) Reorder the terms: -11 + 15a + 3a3 = a(4 + 3a2) -11 + 15a + 3a3 = (4 * a + 3a2 * a) -11 + 15a + 3a3 = (4a + 3a3) Add '-3a3' to each side of the equation. -11 + 15a + 3a3 + -3a3 = 4a + 3a3 + -3a3 Combine like terms: 3a3 + -3a3 = 0 -11 + 15a + 0 = 4a + 3a3 + -3a3 -11 + 15a = 4a + 3a3 + -3a3 Combine like terms: 3a3 + -3a3 = 0 -11 + 15a = 4a + 0 -11 + 15a = 4a Solving -11 + 15a = 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -11 + 15a + -4a = 4a + -4a Combine like terms: 15a + -4a = 11a -11 + 11a = 4a + -4a Combine like terms: 4a + -4a = 0 -11 + 11a = 0 Add '11' to each side of the equation. -11 + 11 + 11a = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 11a = 0 + 11 11a = 0 + 11 Combine like terms: 0 + 11 = 11 11a = 11 Divide each side by '11'. a = 1 Simplifying a = 1
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