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Simplifying -1 + -1(5a + -8) = 3a + 39 Reorder the terms: -1 + -1(-8 + 5a) = 3a + 39 -1 + (-8 * -1 + 5a * -1) = 3a + 39 -1 + (8 + -5a) = 3a + 39 Combine like terms: -1 + 8 = 7 7 + -5a = 3a + 39 Reorder the terms: 7 + -5a = 39 + 3a Solving 7 + -5a = 39 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 7 + -5a + -3a = 39 + 3a + -3a Combine like terms: -5a + -3a = -8a 7 + -8a = 39 + 3a + -3a Combine like terms: 3a + -3a = 0 7 + -8a = 39 + 0 7 + -8a = 39 Add '-7' to each side of the equation. 7 + -7 + -8a = 39 + -7 Combine like terms: 7 + -7 = 0 0 + -8a = 39 + -7 -8a = 39 + -7 Combine like terms: 39 + -7 = 32 -8a = 32 Divide each side by '-8'. a = -4 Simplifying a = -4
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