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Simplifying -4(a + -5) + -1[8 + -5(4a + -5)] = 0 Reorder the terms: -4(-5 + a) + -1[8 + -5(4a + -5)] = 0 (-5 * -4 + a * -4) + -1[8 + -5(4a + -5)] = 0 (20 + -4a) + -1[8 + -5(4a + -5)] = 0 Reorder the terms: 20 + -4a + -1[8 + -5(-5 + 4a)] = 0 20 + -4a + -1[8 + (-5 * -5 + 4a * -5)] = 0 20 + -4a + -1[8 + (25 + -20a)] = 0 Combine like terms: 8 + 25 = 33 20 + -4a + -1[33 + -20a] = 0 20 + -4a + [33 * -1 + -20a * -1] = 0 20 + -4a + [-33 + 20a] = 0 Reorder the terms: 20 + -33 + -4a + 20a = 0 Combine like terms: 20 + -33 = -13 -13 + -4a + 20a = 0 Combine like terms: -4a + 20a = 16a -13 + 16a = 0 Solving -13 + 16a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 16a = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 16a = 0 + 13 16a = 0 + 13 Combine like terms: 0 + 13 = 13 16a = 13 Divide each side by '16'. a = 0.8125 Simplifying a = 0.8125
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