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Simplifying 7(1 + 5a) = -4a + -32 (1 * 7 + 5a * 7) = -4a + -32 (7 + 35a) = -4a + -32 Reorder the terms: 7 + 35a = -32 + -4a Solving 7 + 35a = -32 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 7 + 35a + 4a = -32 + -4a + 4a Combine like terms: 35a + 4a = 39a 7 + 39a = -32 + -4a + 4a Combine like terms: -4a + 4a = 0 7 + 39a = -32 + 0 7 + 39a = -32 Add '-7' to each side of the equation. 7 + -7 + 39a = -32 + -7 Combine like terms: 7 + -7 = 0 0 + 39a = -32 + -7 39a = -32 + -7 Combine like terms: -32 + -7 = -39 39a = -39 Divide each side by '39'. a = -1 Simplifying a = -1
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