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Simplifying 4 + 4a + -1(2a + 7) + -1(4a + 9) = 0 Reorder the terms: 4 + 4a + -1(7 + 2a) + -1(4a + 9) = 0 4 + 4a + (7 * -1 + 2a * -1) + -1(4a + 9) = 0 4 + 4a + (-7 + -2a) + -1(4a + 9) = 0 Reorder the terms: 4 + 4a + -7 + -2a + -1(9 + 4a) = 0 4 + 4a + -7 + -2a + (9 * -1 + 4a * -1) = 0 4 + 4a + -7 + -2a + (-9 + -4a) = 0 Reorder the terms: 4 + -7 + -9 + 4a + -2a + -4a = 0 Combine like terms: 4 + -7 = -3 -3 + -9 + 4a + -2a + -4a = 0 Combine like terms: -3 + -9 = -12 -12 + 4a + -2a + -4a = 0 Combine like terms: 4a + -2a = 2a -12 + 2a + -4a = 0 Combine like terms: 2a + -4a = -2a -12 + -2a = 0 Solving -12 + -2a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -2a = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -2a = 0 + 12 -2a = 0 + 12 Combine like terms: 0 + 12 = 12 -2a = 12 Divide each side by '-2'. a = -6 Simplifying a = -6
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