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Simplifying -7(a + -8) + -4a = 6a + -1(a + -8) Reorder the terms: -7(-8 + a) + -4a = 6a + -1(a + -8) (-8 * -7 + a * -7) + -4a = 6a + -1(a + -8) (56 + -7a) + -4a = 6a + -1(a + -8) Combine like terms: -7a + -4a = -11a 56 + -11a = 6a + -1(a + -8) Reorder the terms: 56 + -11a = 6a + -1(-8 + a) 56 + -11a = 6a + (-8 * -1 + a * -1) 56 + -11a = 6a + (8 + -1a) Reorder the terms: 56 + -11a = 8 + 6a + -1a Combine like terms: 6a + -1a = 5a 56 + -11a = 8 + 5a Solving 56 + -11a = 8 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 56 + -11a + -5a = 8 + 5a + -5a Combine like terms: -11a + -5a = -16a 56 + -16a = 8 + 5a + -5a Combine like terms: 5a + -5a = 0 56 + -16a = 8 + 0 56 + -16a = 8 Add '-56' to each side of the equation. 56 + -56 + -16a = 8 + -56 Combine like terms: 56 + -56 = 0 0 + -16a = 8 + -56 -16a = 8 + -56 Combine like terms: 8 + -56 = -48 -16a = -48 Divide each side by '-16'. a = 3 Simplifying a = 3
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