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Simplifying -2(a + -1) + -1[7 + -4(4a + -5)] = 0 Reorder the terms: -2(-1 + a) + -1[7 + -4(4a + -5)] = 0 (-1 * -2 + a * -2) + -1[7 + -4(4a + -5)] = 0 (2 + -2a) + -1[7 + -4(4a + -5)] = 0 Reorder the terms: 2 + -2a + -1[7 + -4(-5 + 4a)] = 0 2 + -2a + -1[7 + (-5 * -4 + 4a * -4)] = 0 2 + -2a + -1[7 + (20 + -16a)] = 0 Combine like terms: 7 + 20 = 27 2 + -2a + -1[27 + -16a] = 0 2 + -2a + [27 * -1 + -16a * -1] = 0 2 + -2a + [-27 + 16a] = 0 Reorder the terms: 2 + -27 + -2a + 16a = 0 Combine like terms: 2 + -27 = -25 -25 + -2a + 16a = 0 Combine like terms: -2a + 16a = 14a -25 + 14a = 0 Solving -25 + 14a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 14a = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 14a = 0 + 25 14a = 0 + 25 Combine like terms: 0 + 25 = 25 14a = 25 Divide each side by '14'. a = 1.785714286 Simplifying a = 1.785714286
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