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Simplifying -7(5a + -4) + -1 = 14 + -8a Reorder the terms: -7(-4 + 5a) + -1 = 14 + -8a (-4 * -7 + 5a * -7) + -1 = 14 + -8a (28 + -35a) + -1 = 14 + -8a Reorder the terms: 28 + -1 + -35a = 14 + -8a Combine like terms: 28 + -1 = 27 27 + -35a = 14 + -8a Solving 27 + -35a = 14 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. 27 + -35a + 8a = 14 + -8a + 8a Combine like terms: -35a + 8a = -27a 27 + -27a = 14 + -8a + 8a Combine like terms: -8a + 8a = 0 27 + -27a = 14 + 0 27 + -27a = 14 Add '-27' to each side of the equation. 27 + -27 + -27a = 14 + -27 Combine like terms: 27 + -27 = 0 0 + -27a = 14 + -27 -27a = 14 + -27 Combine like terms: 14 + -27 = -13 -27a = -13 Divide each side by '-27'. a = 0.4814814815 Simplifying a = 0.4814814815
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