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Simplifying 8a + 6a + -16 = 6 + 8a + 2 Reorder the terms: -16 + 8a + 6a = 6 + 8a + 2 Combine like terms: 8a + 6a = 14a -16 + 14a = 6 + 8a + 2 Reorder the terms: -16 + 14a = 6 + 2 + 8a Combine like terms: 6 + 2 = 8 -16 + 14a = 8 + 8a Solving -16 + 14a = 8 + 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. -16 + 14a + -8a = 8 + 8a + -8a Combine like terms: 14a + -8a = 6a -16 + 6a = 8 + 8a + -8a Combine like terms: 8a + -8a = 0 -16 + 6a = 8 + 0 -16 + 6a = 8 Add '16' to each side of the equation. -16 + 16 + 6a = 8 + 16 Combine like terms: -16 + 16 = 0 0 + 6a = 8 + 16 6a = 8 + 16 Combine like terms: 8 + 16 = 24 6a = 24 Divide each side by '6'. a = 4 Simplifying a = 4
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