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Simplifying 7 + 4a + -1(2a + 9) + -1(4a + 9) = 0 Reorder the terms: 7 + 4a + -1(9 + 2a) + -1(4a + 9) = 0 7 + 4a + (9 * -1 + 2a * -1) + -1(4a + 9) = 0 7 + 4a + (-9 + -2a) + -1(4a + 9) = 0 Reorder the terms: 7 + 4a + -9 + -2a + -1(9 + 4a) = 0 7 + 4a + -9 + -2a + (9 * -1 + 4a * -1) = 0 7 + 4a + -9 + -2a + (-9 + -4a) = 0 Reorder the terms: 7 + -9 + -9 + 4a + -2a + -4a = 0 Combine like terms: 7 + -9 = -2 -2 + -9 + 4a + -2a + -4a = 0 Combine like terms: -2 + -9 = -11 -11 + 4a + -2a + -4a = 0 Combine like terms: 4a + -2a = 2a -11 + 2a + -4a = 0 Combine like terms: 2a + -4a = -2a -11 + -2a = 0 Solving -11 + -2a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -2a = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -2a = 0 + 11 -2a = 0 + 11 Combine like terms: 0 + 11 = 11 -2a = 11 Divide each side by '-2'. a = -5.5 Simplifying a = -5.5
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