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Simplifying 3a + 8 = 6a + 1 Reorder the terms: 8 + 3a = 6a + 1 Reorder the terms: 8 + 3a = 1 + 6a Solving 8 + 3a = 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. 8 + 3a + -6a = 1 + 6a + -6a Combine like terms: 3a + -6a = -3a 8 + -3a = 1 + 6a + -6a Combine like terms: 6a + -6a = 0 8 + -3a = 1 + 0 8 + -3a = 1 Add '-8' to each side of the equation. 8 + -8 + -3a = 1 + -8 Combine like terms: 8 + -8 = 0 0 + -3a = 1 + -8 -3a = 1 + -8 Combine like terms: 1 + -8 = -7 -3a = -7 Divide each side by '-3'. a = 2.333333333 Simplifying a = 2.333333333
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