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Simplifying a + -27 + 2a + -83 = a Reorder the terms: -27 + -83 + a + 2a = a Combine like terms: -27 + -83 = -110 -110 + a + 2a = a Combine like terms: a + 2a = 3a -110 + 3a = a Solving -110 + 3a = a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -110 + 3a + -1a = a + -1a Combine like terms: 3a + -1a = 2a -110 + 2a = a + -1a Combine like terms: a + -1a = 0 -110 + 2a = 0 Add '110' to each side of the equation. -110 + 110 + 2a = 0 + 110 Combine like terms: -110 + 110 = 0 0 + 2a = 0 + 110 2a = 0 + 110 Combine like terms: 0 + 110 = 110 2a = 110 Divide each side by '2'. a = 55 Simplifying a = 55
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