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Simplifying 9 + 6a + -14 = 8 + -1a + -6 + 4a Reorder the terms: 9 + -14 + 6a = 8 + -1a + -6 + 4a Combine like terms: 9 + -14 = -5 -5 + 6a = 8 + -1a + -6 + 4a Reorder the terms: -5 + 6a = 8 + -6 + -1a + 4a Combine like terms: 8 + -6 = 2 -5 + 6a = 2 + -1a + 4a Combine like terms: -1a + 4a = 3a -5 + 6a = 2 + 3a Solving -5 + 6a = 2 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -5 + 6a + -3a = 2 + 3a + -3a Combine like terms: 6a + -3a = 3a -5 + 3a = 2 + 3a + -3a Combine like terms: 3a + -3a = 0 -5 + 3a = 2 + 0 -5 + 3a = 2 Add '5' to each side of the equation. -5 + 5 + 3a = 2 + 5 Combine like terms: -5 + 5 = 0 0 + 3a = 2 + 5 3a = 2 + 5 Combine like terms: 2 + 5 = 7 3a = 7 Divide each side by '3'. a = 2.333333333 Simplifying a = 2.333333333
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