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Simplifying 2a + 1 = 49 + -6a Reorder the terms: 1 + 2a = 49 + -6a Solving 1 + 2a = 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. 1 + 2a + 6a = 49 + -6a + 6a Combine like terms: 2a + 6a = 8a 1 + 8a = 49 + -6a + 6a Combine like terms: -6a + 6a = 0 1 + 8a = 49 + 0 1 + 8a = 49 Add '-1' to each side of the equation. 1 + -1 + 8a = 49 + -1 Combine like terms: 1 + -1 = 0 0 + 8a = 49 + -1 8a = 49 + -1 Combine like terms: 49 + -1 = 48 8a = 48 Divide each side by '8'. a = 6 Simplifying a = 6
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