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Simplifying 6a + 3 = 8 + 7a + 2a Reorder the terms: 3 + 6a = 8 + 7a + 2a Combine like terms: 7a + 2a = 9a 3 + 6a = 8 + 9a Solving 3 + 6a = 8 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 3 + 6a + -9a = 8 + 9a + -9a Combine like terms: 6a + -9a = -3a 3 + -3a = 8 + 9a + -9a Combine like terms: 9a + -9a = 0 3 + -3a = 8 + 0 3 + -3a = 8 Add '-3' to each side of the equation. 3 + -3 + -3a = 8 + -3 Combine like terms: 3 + -3 = 0 0 + -3a = 8 + -3 -3a = 8 + -3 Combine like terms: 8 + -3 = 5 -3a = 5 Divide each side by '-3'. a = -1.666666667 Simplifying a = -1.666666667
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