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Simplifying 8(-9 + -4a) + -6(3a + -5) = 0 (-9 * 8 + -4a * 8) + -6(3a + -5) = 0 (-72 + -32a) + -6(3a + -5) = 0 Reorder the terms: -72 + -32a + -6(-5 + 3a) = 0 -72 + -32a + (-5 * -6 + 3a * -6) = 0 -72 + -32a + (30 + -18a) = 0 Reorder the terms: -72 + 30 + -32a + -18a = 0 Combine like terms: -72 + 30 = -42 -42 + -32a + -18a = 0 Combine like terms: -32a + -18a = -50a -42 + -50a = 0 Solving -42 + -50a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -50a = 0 + 42 Combine like terms: -42 + 42 = 0 0 + -50a = 0 + 42 -50a = 0 + 42 Combine like terms: 0 + 42 = 42 -50a = 42 Divide each side by '-50'. a = -0.84 Simplifying a = -0.84
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