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Simplifying 5(a + -4) + 9(1 + 7a) = 0 Reorder the terms: 5(-4 + a) + 9(1 + 7a) = 0 (-4 * 5 + a * 5) + 9(1 + 7a) = 0 (-20 + 5a) + 9(1 + 7a) = 0 -20 + 5a + (1 * 9 + 7a * 9) = 0 -20 + 5a + (9 + 63a) = 0 Reorder the terms: -20 + 9 + 5a + 63a = 0 Combine like terms: -20 + 9 = -11 -11 + 5a + 63a = 0 Combine like terms: 5a + 63a = 68a -11 + 68a = 0 Solving -11 + 68a = 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 + 68a = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 68a = 0 + 11 68a = 0 + 11 Combine like terms: 0 + 11 = 11 68a = 11 Divide each side by '68'. a = 0.1617647059 Simplifying a = 0.1617647059
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