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Simplifying 9a + -1[7 + -5(7a + -3)] = 0 Reorder the terms: 9a + -1[7 + -5(-3 + 7a)] = 0 9a + -1[7 + (-3 * -5 + 7a * -5)] = 0 9a + -1[7 + (15 + -35a)] = 0 Combine like terms: 7 + 15 = 22 9a + -1[22 + -35a] = 0 9a + [22 * -1 + -35a * -1] = 0 9a + [-22 + 35a] = 0 Reorder the terms: -22 + 9a + 35a = 0 Combine like terms: 9a + 35a = 44a -22 + 44a = 0 Solving -22 + 44a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 44a = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 44a = 0 + 22 44a = 0 + 22 Combine like terms: 0 + 22 = 22 44a = 22 Divide each side by '44'. a = 0.5 Simplifying a = 0.5
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