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Simplifying (3a2 + 5a + -4) + -1(3a2 + -4a + 1) = 4a + 15 Reorder the terms: (-4 + 5a + 3a2) + -1(3a2 + -4a + 1) = 4a + 15 Remove parenthesis around (-4 + 5a + 3a2) -4 + 5a + 3a2 + -1(3a2 + -4a + 1) = 4a + 15 Reorder the terms: -4 + 5a + 3a2 + -1(1 + -4a + 3a2) = 4a + 15 -4 + 5a + 3a2 + (1 * -1 + -4a * -1 + 3a2 * -1) = 4a + 15 -4 + 5a + 3a2 + (-1 + 4a + -3a2) = 4a + 15 Reorder the terms: -4 + -1 + 5a + 4a + 3a2 + -3a2 = 4a + 15 Combine like terms: -4 + -1 = -5 -5 + 5a + 4a + 3a2 + -3a2 = 4a + 15 Combine like terms: 5a + 4a = 9a -5 + 9a + 3a2 + -3a2 = 4a + 15 Combine like terms: 3a2 + -3a2 = 0 -5 + 9a + 0 = 4a + 15 -5 + 9a = 4a + 15 Reorder the terms: -5 + 9a = 15 + 4a Solving -5 + 9a = 15 + 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. -5 + 9a + -4a = 15 + 4a + -4a Combine like terms: 9a + -4a = 5a -5 + 5a = 15 + 4a + -4a Combine like terms: 4a + -4a = 0 -5 + 5a = 15 + 0 -5 + 5a = 15 Add '5' to each side of the equation. -5 + 5 + 5a = 15 + 5 Combine like terms: -5 + 5 = 0 0 + 5a = 15 + 5 5a = 15 + 5 Combine like terms: 15 + 5 = 20 5a = 20 Divide each side by '5'. a = 4 Simplifying a = 4
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