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Simplifying -5 + 8a + 6a = 8a + 2 + 5 Combine like terms: 8a + 6a = 14a -5 + 14a = 8a + 2 + 5 Reorder the terms: -5 + 14a = 2 + 5 + 8a Combine like terms: 2 + 5 = 7 -5 + 14a = 7 + 8a Solving -5 + 14a = 7 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -5 + 14a + -8a = 7 + 8a + -8a Combine like terms: 14a + -8a = 6a -5 + 6a = 7 + 8a + -8a Combine like terms: 8a + -8a = 0 -5 + 6a = 7 + 0 -5 + 6a = 7 Add '5' to each side of the equation. -5 + 5 + 6a = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 6a = 7 + 5 6a = 7 + 5 Combine like terms: 7 + 5 = 12 6a = 12 Divide each side by '6'. a = 2 Simplifying a = 2
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