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Simplifying 7(8 + 4a) = -32 + 6a (8 * 7 + 4a * 7) = -32 + 6a (56 + 28a) = -32 + 6a Solving 56 + 28a = -32 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 56 + 28a + -6a = -32 + 6a + -6a Combine like terms: 28a + -6a = 22a 56 + 22a = -32 + 6a + -6a Combine like terms: 6a + -6a = 0 56 + 22a = -32 + 0 56 + 22a = -32 Add '-56' to each side of the equation. 56 + -56 + 22a = -32 + -56 Combine like terms: 56 + -56 = 0 0 + 22a = -32 + -56 22a = -32 + -56 Combine like terms: -32 + -56 = -88 22a = -88 Divide each side by '22'. a = -4 Simplifying a = -4
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