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Simplifying -4(1 + -7a) + 5 = -8a + -39 (1 * -4 + -7a * -4) + 5 = -8a + -39 (-4 + 28a) + 5 = -8a + -39 Reorder the terms: -4 + 5 + 28a = -8a + -39 Combine like terms: -4 + 5 = 1 1 + 28a = -8a + -39 Reorder the terms: 1 + 28a = -39 + -8a Solving 1 + 28a = -39 + -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. 1 + 28a + 8a = -39 + -8a + 8a Combine like terms: 28a + 8a = 36a 1 + 36a = -39 + -8a + 8a Combine like terms: -8a + 8a = 0 1 + 36a = -39 + 0 1 + 36a = -39 Add '-1' to each side of the equation. 1 + -1 + 36a = -39 + -1 Combine like terms: 1 + -1 = 0 0 + 36a = -39 + -1 36a = -39 + -1 Combine like terms: -39 + -1 = -40 36a = -40 Divide each side by '36'. a = -1.111111111 Simplifying a = -1.111111111
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