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Simplifying 5 + 7a = 6a + 1 Reorder the terms: 5 + 7a = 1 + 6a Solving 5 + 7a = 1 + 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. 5 + 7a + -6a = 1 + 6a + -6a Combine like terms: 7a + -6a = 1a 5 + 1a = 1 + 6a + -6a Combine like terms: 6a + -6a = 0 5 + 1a = 1 + 0 5 + 1a = 1 Add '-5' to each side of the equation. 5 + -5 + 1a = 1 + -5 Combine like terms: 5 + -5 = 0 0 + 1a = 1 + -5 1a = 1 + -5 Combine like terms: 1 + -5 = -4 1a = -4 Divide each side by '1'. a = -4 Simplifying a = -4
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