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Simplifying (3a2 + 2a + -2) + -1(3a2 + -5a + 2) = 5a + 2 Reorder the terms: (-2 + 2a + 3a2) + -1(3a2 + -5a + 2) = 5a + 2 Remove parenthesis around (-2 + 2a + 3a2) -2 + 2a + 3a2 + -1(3a2 + -5a + 2) = 5a + 2 Reorder the terms: -2 + 2a + 3a2 + -1(2 + -5a + 3a2) = 5a + 2 -2 + 2a + 3a2 + (2 * -1 + -5a * -1 + 3a2 * -1) = 5a + 2 -2 + 2a + 3a2 + (-2 + 5a + -3a2) = 5a + 2 Reorder the terms: -2 + -2 + 2a + 5a + 3a2 + -3a2 = 5a + 2 Combine like terms: -2 + -2 = -4 -4 + 2a + 5a + 3a2 + -3a2 = 5a + 2 Combine like terms: 2a + 5a = 7a -4 + 7a + 3a2 + -3a2 = 5a + 2 Combine like terms: 3a2 + -3a2 = 0 -4 + 7a + 0 = 5a + 2 -4 + 7a = 5a + 2 Reorder the terms: -4 + 7a = 2 + 5a Solving -4 + 7a = 2 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -4 + 7a + -5a = 2 + 5a + -5a Combine like terms: 7a + -5a = 2a -4 + 2a = 2 + 5a + -5a Combine like terms: 5a + -5a = 0 -4 + 2a = 2 + 0 -4 + 2a = 2 Add '4' to each side of the equation. -4 + 4 + 2a = 2 + 4 Combine like terms: -4 + 4 = 0 0 + 2a = 2 + 4 2a = 2 + 4 Combine like terms: 2 + 4 = 6 2a = 6 Divide each side by '2'. a = 3 Simplifying a = 3
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