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Simplifying 5 + 4a + -1(4a + 3) + -1(5a + 9) = 0 Reorder the terms: 5 + 4a + -1(3 + 4a) + -1(5a + 9) = 0 5 + 4a + (3 * -1 + 4a * -1) + -1(5a + 9) = 0 5 + 4a + (-3 + -4a) + -1(5a + 9) = 0 Reorder the terms: 5 + 4a + -3 + -4a + -1(9 + 5a) = 0 5 + 4a + -3 + -4a + (9 * -1 + 5a * -1) = 0 5 + 4a + -3 + -4a + (-9 + -5a) = 0 Reorder the terms: 5 + -3 + -9 + 4a + -4a + -5a = 0 Combine like terms: 5 + -3 = 2 2 + -9 + 4a + -4a + -5a = 0 Combine like terms: 2 + -9 = -7 -7 + 4a + -4a + -5a = 0 Combine like terms: 4a + -4a = 0 -7 + 0 + -5a = 0 -7 + -5a = 0 Solving -7 + -5a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -5a = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5a = 0 + 7 -5a = 0 + 7 Combine like terms: 0 + 7 = 7 -5a = 7 Divide each side by '-5'. a = -1.4 Simplifying a = -1.4
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