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Simplifying -1(7a + -4) + 5(4a + 8) = -8 Reorder the terms: -1(-4 + 7a) + 5(4a + 8) = -8 (-4 * -1 + 7a * -1) + 5(4a + 8) = -8 (4 + -7a) + 5(4a + 8) = -8 Reorder the terms: 4 + -7a + 5(8 + 4a) = -8 4 + -7a + (8 * 5 + 4a * 5) = -8 4 + -7a + (40 + 20a) = -8 Reorder the terms: 4 + 40 + -7a + 20a = -8 Combine like terms: 4 + 40 = 44 44 + -7a + 20a = -8 Combine like terms: -7a + 20a = 13a 44 + 13a = -8 Solving 44 + 13a = -8 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + 13a = -8 + -44 Combine like terms: 44 + -44 = 0 0 + 13a = -8 + -44 13a = -8 + -44 Combine like terms: -8 + -44 = -52 13a = -52 Divide each side by '13'. a = -4 Simplifying a = -4
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