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Simplifying 3a + 4 + 6a + -6 = 6a + 8 Reorder the terms: 4 + -6 + 3a + 6a = 6a + 8 Combine like terms: 4 + -6 = -2 -2 + 3a + 6a = 6a + 8 Combine like terms: 3a + 6a = 9a -2 + 9a = 6a + 8 Reorder the terms: -2 + 9a = 8 + 6a Solving -2 + 9a = 8 + 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. -2 + 9a + -6a = 8 + 6a + -6a Combine like terms: 9a + -6a = 3a -2 + 3a = 8 + 6a + -6a Combine like terms: 6a + -6a = 0 -2 + 3a = 8 + 0 -2 + 3a = 8 Add '2' to each side of the equation. -2 + 2 + 3a = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 3a = 8 + 2 3a = 8 + 2 Combine like terms: 8 + 2 = 10 3a = 10 Divide each side by '3'. a = 3.333333333 Simplifying a = 3.333333333
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