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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 = 43a 27 + 43a = 14 + -8a + 8a Combine like terms: -8a + 8a = 0 27 + 43a = 14 + 0 27 + 43a = 14 Add '-27' to each side of the equation. 27 + -27 + 43a = 14 + -27 Combine like terms: 27 + -27 = 0 0 + 43a = 14 + -27 43a = 14 + -27 Combine like terms: 14 + -27 = -13 43a = -13 Divide each side by '43'. a = -0.3023255814 Simplifying a = -0.3023255814
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