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Simplifying 40 + -8a = -7(8a + 8) Reorder the terms: 40 + -8a = -7(8 + 8a) 40 + -8a = (8 * -7 + 8a * -7) 40 + -8a = (-56 + -56a) Solving 40 + -8a = -56 + -56a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '56a' to each side of the equation. 40 + -8a + 56a = -56 + -56a + 56a Combine like terms: -8a + 56a = 48a 40 + 48a = -56 + -56a + 56a Combine like terms: -56a + 56a = 0 40 + 48a = -56 + 0 40 + 48a = -56 Add '-40' to each side of the equation. 40 + -40 + 48a = -56 + -40 Combine like terms: 40 + -40 = 0 0 + 48a = -56 + -40 48a = -56 + -40 Combine like terms: -56 + -40 = -96 48a = -96 Divide each side by '48'. a = -2 Simplifying a = -2
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