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Simplifying 9 + 6a + -14 = 8 + -1a + -6 + 14 Reorder the terms: 9 + -14 + 6a = 8 + -1a + -6 + 14 Combine like terms: 9 + -14 = -5 -5 + 6a = 8 + -1a + -6 + 14 Reorder the terms: -5 + 6a = 8 + -6 + 14 + -1a Combine like terms: 8 + -6 = 2 -5 + 6a = 2 + 14 + -1a Combine like terms: 2 + 14 = 16 -5 + 6a = 16 + -1a Solving -5 + 6a = 16 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -5 + 6a + a = 16 + -1a + a Combine like terms: 6a + a = 7a -5 + 7a = 16 + -1a + a Combine like terms: -1a + a = 0 -5 + 7a = 16 + 0 -5 + 7a = 16 Add '5' to each side of the equation. -5 + 5 + 7a = 16 + 5 Combine like terms: -5 + 5 = 0 0 + 7a = 16 + 5 7a = 16 + 5 Combine like terms: 16 + 5 = 21 7a = 21 Divide each side by '7'. a = 3 Simplifying a = 3
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