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Simplifying -4(a + -2) + -1[7 + -5(4a + -1)] = 0 Reorder the terms: -4(-2 + a) + -1[7 + -5(4a + -1)] = 0 (-2 * -4 + a * -4) + -1[7 + -5(4a + -1)] = 0 (8 + -4a) + -1[7 + -5(4a + -1)] = 0 Reorder the terms: 8 + -4a + -1[7 + -5(-1 + 4a)] = 0 8 + -4a + -1[7 + (-1 * -5 + 4a * -5)] = 0 8 + -4a + -1[7 + (5 + -20a)] = 0 Combine like terms: 7 + 5 = 12 8 + -4a + -1[12 + -20a] = 0 8 + -4a + [12 * -1 + -20a * -1] = 0 8 + -4a + [-12 + 20a] = 0 Reorder the terms: 8 + -12 + -4a + 20a = 0 Combine like terms: 8 + -12 = -4 -4 + -4a + 20a = 0 Combine like terms: -4a + 20a = 16a -4 + 16a = 0 Solving -4 + 16a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 16a = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 16a = 0 + 4 16a = 0 + 4 Combine like terms: 0 + 4 = 4 16a = 4 Divide each side by '16'. a = 0.25 Simplifying a = 0.25
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