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Simplifying 2a + -4 = 14 + -1a Reorder the terms: -4 + 2a = 14 + -1a Solving -4 + 2a = 14 + -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. -4 + 2a + a = 14 + -1a + a Combine like terms: 2a + a = 3a -4 + 3a = 14 + -1a + a Combine like terms: -1a + a = 0 -4 + 3a = 14 + 0 -4 + 3a = 14 Add '4' to each side of the equation. -4 + 4 + 3a = 14 + 4 Combine like terms: -4 + 4 = 0 0 + 3a = 14 + 4 3a = 14 + 4 Combine like terms: 14 + 4 = 18 3a = 18 Divide each side by '3'. a = 6 Simplifying a = 6
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