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Simplifying a + 19 + 7a = 6a + 49 Reorder the terms: 19 + a + 7a = 6a + 49 Combine like terms: a + 7a = 8a 19 + 8a = 6a + 49 Reorder the terms: 19 + 8a = 49 + 6a Solving 19 + 8a = 49 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 19 + 8a + -6a = 49 + 6a + -6a Combine like terms: 8a + -6a = 2a 19 + 2a = 49 + 6a + -6a Combine like terms: 6a + -6a = 0 19 + 2a = 49 + 0 19 + 2a = 49 Add '-19' to each side of the equation. 19 + -19 + 2a = 49 + -19 Combine like terms: 19 + -19 = 0 0 + 2a = 49 + -19 2a = 49 + -19 Combine like terms: 49 + -19 = 30 2a = 30 Divide each side by '2'. a = 15 Simplifying a = 15
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