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Simplifying -2(9 + 2a) + -8(4 + -5a) = 0 (9 * -2 + 2a * -2) + -8(4 + -5a) = 0 (-18 + -4a) + -8(4 + -5a) = 0 -18 + -4a + (4 * -8 + -5a * -8) = 0 -18 + -4a + (-32 + 40a) = 0 Reorder the terms: -18 + -32 + -4a + 40a = 0 Combine like terms: -18 + -32 = -50 -50 + -4a + 40a = 0 Combine like terms: -4a + 40a = 36a -50 + 36a = 0 Solving -50 + 36a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + 36a = 0 + 50 Combine like terms: -50 + 50 = 0 0 + 36a = 0 + 50 36a = 0 + 50 Combine like terms: 0 + 50 = 50 36a = 50 Divide each side by '36'. a = 1.388888889 Simplifying a = 1.388888889
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