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Simplifying a + -49 + a = a + 48 Reorder the terms: -49 + a + a = a + 48 Combine like terms: a + a = 2a -49 + 2a = a + 48 Reorder the terms: -49 + 2a = 48 + a Solving -49 + 2a = 48 + 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. -49 + 2a + -1a = 48 + a + -1a Combine like terms: 2a + -1a = 1a -49 + 1a = 48 + a + -1a Combine like terms: a + -1a = 0 -49 + 1a = 48 + 0 -49 + 1a = 48 Add '49' to each side of the equation. -49 + 49 + 1a = 48 + 49 Combine like terms: -49 + 49 = 0 0 + 1a = 48 + 49 1a = 48 + 49 Combine like terms: 48 + 49 = 97 1a = 97 Divide each side by '1'. a = 97 Simplifying a = 97
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