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Simplifying 7a2 + -1[2a2 + -1(5a + -5a2 + 17)] = 0 Reorder the terms: 7a2 + -1[2a2 + -1(17 + 5a + -5a2)] = 0 7a2 + -1[2a2 + (17 * -1 + 5a * -1 + -5a2 * -1)] = 0 7a2 + -1[2a2 + (-17 + -5a + 5a2)] = 0 Reorder the terms: 7a2 + -1[-17 + -5a + 2a2 + 5a2] = 0 Combine like terms: 2a2 + 5a2 = 7a2 7a2 + -1[-17 + -5a + 7a2] = 0 7a2 + [-17 * -1 + -5a * -1 + 7a2 * -1] = 0 7a2 + [17 + 5a + -7a2] = 0 Reorder the terms: 17 + 5a + 7a2 + -7a2 = 0 Combine like terms: 7a2 + -7a2 = 0 17 + 5a + 0 = 0 17 + 5a = 0 Solving 17 + 5a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 5a = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 5a = 0 + -17 5a = 0 + -17 Combine like terms: 0 + -17 = -17 5a = -17 Divide each side by '5'. a = -3.4 Simplifying a = -3.4
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