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Simplifying 8a + -1(5a + -7) = 1 Reorder the terms: 8a + -1(-7 + 5a) = 1 8a + (-7 * -1 + 5a * -1) = 1 8a + (7 + -5a) = 1 Reorder the terms: 7 + 8a + -5a = 1 Combine like terms: 8a + -5a = 3a 7 + 3a = 1 Solving 7 + 3a = 1 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 + 3a = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 3a = 1 + -7 3a = 1 + -7 Combine like terms: 1 + -7 = -6 3a = -6 Divide each side by '3'. a = -2 Simplifying a = -2
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