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Simplifying -8(7 + -1a) = -40 + -8a (7 * -8 + -1a * -8) = -40 + -8a (-56 + 8a) = -40 + -8a Solving -56 + 8a = -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 + 8a + 8a = -40 + -8a + 8a Combine like terms: 8a + 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 = 16 16a = 16 Divide each side by '16'. a = 1 Simplifying a = 1
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