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Simplifying 3a2 + -1 = 3a2 + 2a + 3a + 2 Reorder the terms: -1 + 3a2 = 3a2 + 2a + 3a + 2 Reorder the terms: -1 + 3a2 = 2 + 2a + 3a + 3a2 Combine like terms: 2a + 3a = 5a -1 + 3a2 = 2 + 5a + 3a2 Add '-3a2' to each side of the equation. -1 + 3a2 + -3a2 = 2 + 5a + 3a2 + -3a2 Combine like terms: 3a2 + -3a2 = 0 -1 + 0 = 2 + 5a + 3a2 + -3a2 -1 = 2 + 5a + 3a2 + -3a2 Combine like terms: 3a2 + -3a2 = 0 -1 = 2 + 5a + 0 -1 = 2 + 5a Solving -1 = 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. -1 + -5a = 2 + 5a + -5a Combine like terms: 5a + -5a = 0 -1 + -5a = 2 + 0 -1 + -5a = 2 Add '1' to each side of the equation. -1 + 1 + -5a = 2 + 1 Combine like terms: -1 + 1 = 0 0 + -5a = 2 + 1 -5a = 2 + 1 Combine like terms: 2 + 1 = 3 -5a = 3 Divide each side by '-5'. a = -0.6 Simplifying a = -0.6
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