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Simplifying 5a + 1 = 2a + 6 Reorder the terms: 1 + 5a = 2a + 6 Reorder the terms: 1 + 5a = 6 + 2a Solving 1 + 5a = 6 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 1 + 5a + -2a = 6 + 2a + -2a Combine like terms: 5a + -2a = 3a 1 + 3a = 6 + 2a + -2a Combine like terms: 2a + -2a = 0 1 + 3a = 6 + 0 1 + 3a = 6 Add '-1' to each side of the equation. 1 + -1 + 3a = 6 + -1 Combine like terms: 1 + -1 = 0 0 + 3a = 6 + -1 3a = 6 + -1 Combine like terms: 6 + -1 = 5 3a = 5 Divide each side by '3'. a = 1.666666667 Simplifying a = 1.666666667
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