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