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Simplifying 7a + -1(a + -8) = a + 3 Reorder the terms: 7a + -1(-8 + a) = a + 3 7a + (-8 * -1 + a * -1) = a + 3 7a + (8 + -1a) = a + 3 Reorder the terms: 8 + 7a + -1a = a + 3 Combine like terms: 7a + -1a = 6a 8 + 6a = a + 3 Reorder the terms: 8 + 6a = 3 + a Solving 8 + 6a = 3 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 8 + 6a + -1a = 3 + a + -1a Combine like terms: 6a + -1a = 5a 8 + 5a = 3 + a + -1a Combine like terms: a + -1a = 0 8 + 5a = 3 + 0 8 + 5a = 3 Add '-8' to each side of the equation. 8 + -8 + 5a = 3 + -8 Combine like terms: 8 + -8 = 0 0 + 5a = 3 + -8 5a = 3 + -8 Combine like terms: 3 + -8 = -5 5a = -5 Divide each side by '5'. a = -1 Simplifying a = -1
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