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Simplifying 2a + -12 + a + 9 = a + 49 Reorder the terms: -12 + 9 + 2a + a = a + 49 Combine like terms: -12 + 9 = -3 -3 + 2a + a = a + 49 Combine like terms: 2a + a = 3a -3 + 3a = a + 49 Reorder the terms: -3 + 3a = 49 + a Solving -3 + 3a = 49 + 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. -3 + 3a + -1a = 49 + a + -1a Combine like terms: 3a + -1a = 2a -3 + 2a = 49 + a + -1a Combine like terms: a + -1a = 0 -3 + 2a = 49 + 0 -3 + 2a = 49 Add '3' to each side of the equation. -3 + 3 + 2a = 49 + 3 Combine like terms: -3 + 3 = 0 0 + 2a = 49 + 3 2a = 49 + 3 Combine like terms: 49 + 3 = 52 2a = 52 Divide each side by '2'. a = 26 Simplifying a = 26
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