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Simplifying -89 = -8(a + 7) + -3a Reorder the terms: -89 = -8(7 + a) + -3a -89 = (7 * -8 + a * -8) + -3a -89 = (-56 + -8a) + -3a Combine like terms: -8a + -3a = -11a -89 = -56 + -11a Solving -89 = -56 + -11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '11a' to each side of the equation. -89 + 11a = -56 + -11a + 11a Combine like terms: -11a + 11a = 0 -89 + 11a = -56 + 0 -89 + 11a = -56 Add '89' to each side of the equation. -89 + 89 + 11a = -56 + 89 Combine like terms: -89 + 89 = 0 0 + 11a = -56 + 89 11a = -56 + 89 Combine like terms: -56 + 89 = 33 11a = 33 Divide each side by '11'. a = 3 Simplifying a = 3
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