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Simplifying -52 + -1a = 11(-5a + 7) + 11a Reorder the terms: -52 + -1a = 11(7 + -5a) + 11a -52 + -1a = (7 * 11 + -5a * 11) + 11a -52 + -1a = (77 + -55a) + 11a Combine like terms: -55a + 11a = -44a -52 + -1a = 77 + -44a Solving -52 + -1a = 77 + -44a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '44a' to each side of the equation. -52 + -1a + 44a = 77 + -44a + 44a Combine like terms: -1a + 44a = 43a -52 + 43a = 77 + -44a + 44a Combine like terms: -44a + 44a = 0 -52 + 43a = 77 + 0 -52 + 43a = 77 Add '52' to each side of the equation. -52 + 52 + 43a = 77 + 52 Combine like terms: -52 + 52 = 0 0 + 43a = 77 + 52 43a = 77 + 52 Combine like terms: 77 + 52 = 129 43a = 129 Divide each side by '43'. a = 3 Simplifying a = 3
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