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Simplifying 5a + -1(3a + -7) = 0 Reorder the terms: 5a + -1(-7 + 3a) = 0 5a + (-7 * -1 + 3a * -1) = 0 5a + (7 + -3a) = 0 Reorder the terms: 7 + 5a + -3a = 0 Combine like terms: 5a + -3a = 2a 7 + 2a = 0 Solving 7 + 2a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2a = 0 + -7 2a = 0 + -7 Combine like terms: 0 + -7 = -7 2a = -7 Divide each side by '2'. a = -3.5 Simplifying a = -3.5
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