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Simplifying 3a2 + (-1a + -1)(3a + 4) = 4a + -7 Reorder the terms: 3a2 + (-1 + -1a)(3a + 4) = 4a + -7 Reorder the terms: 3a2 + (-1 + -1a)(4 + 3a) = 4a + -7 Multiply (-1 + -1a) * (4 + 3a) 3a2 + (-1(4 + 3a) + -1a * (4 + 3a)) = 4a + -7 3a2 + ((4 * -1 + 3a * -1) + -1a * (4 + 3a)) = 4a + -7 3a2 + ((-4 + -3a) + -1a * (4 + 3a)) = 4a + -7 3a2 + (-4 + -3a + (4 * -1a + 3a * -1a)) = 4a + -7 3a2 + (-4 + -3a + (-4a + -3a2)) = 4a + -7 Combine like terms: -3a + -4a = -7a 3a2 + (-4 + -7a + -3a2) = 4a + -7 Reorder the terms: -4 + -7a + 3a2 + -3a2 = 4a + -7 Combine like terms: 3a2 + -3a2 = 0 -4 + -7a + 0 = 4a + -7 -4 + -7a = 4a + -7 Reorder the terms: -4 + -7a = -7 + 4a Solving -4 + -7a = -7 + 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. -4 + -7a + -4a = -7 + 4a + -4a Combine like terms: -7a + -4a = -11a -4 + -11a = -7 + 4a + -4a Combine like terms: 4a + -4a = 0 -4 + -11a = -7 + 0 -4 + -11a = -7 Add '4' to each side of the equation. -4 + 4 + -11a = -7 + 4 Combine like terms: -4 + 4 = 0 0 + -11a = -7 + 4 -11a = -7 + 4 Combine like terms: -7 + 4 = -3 -11a = -3 Divide each side by '-11'. a = 0.2727272727 Simplifying a = 0.2727272727
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