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Simplifying -100 = -7(a + 8) + -4a Reorder the terms: -100 = -7(8 + a) + -4a -100 = (8 * -7 + a * -7) + -4a -100 = (-56 + -7a) + -4a Combine like terms: -7a + -4a = -11a -100 = -56 + -11a Solving -100 = -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. -100 + 11a = -56 + -11a + 11a Combine like terms: -11a + 11a = 0 -100 + 11a = -56 + 0 -100 + 11a = -56 Add '100' to each side of the equation. -100 + 100 + 11a = -56 + 100 Combine like terms: -100 + 100 = 0 0 + 11a = -56 + 100 11a = -56 + 100 Combine like terms: -56 + 100 = 44 11a = 44 Divide each side by '11'. a = 4 Simplifying a = 4
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