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Simplifying 8(7 + 3a) = 8a + -40 (7 * 8 + 3a * 8) = 8a + -40 (56 + 24a) = 8a + -40 Reorder the terms: 56 + 24a = -40 + 8a Solving 56 + 24a = -40 + 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. 56 + 24a + -8a = -40 + 8a + -8a Combine like terms: 24a + -8a = 16a 56 + 16a = -40 + 8a + -8a Combine like terms: 8a + -8a = 0 56 + 16a = -40 + 0 56 + 16a = -40 Add '-56' to each side of the equation. 56 + -56 + 16a = -40 + -56 Combine like terms: 56 + -56 = 0 0 + 16a = -40 + -56 16a = -40 + -56 Combine like terms: -40 + -56 = -96 16a = -96 Divide each side by '16'. a = -6 Simplifying a = -6
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