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Simplifying -2a + 5a + -4 = 14 + -6a Reorder the terms: -4 + -2a + 5a = 14 + -6a Combine like terms: -2a + 5a = 3a -4 + 3a = 14 + -6a Solving -4 + 3a = 14 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. -4 + 3a + 6a = 14 + -6a + 6a Combine like terms: 3a + 6a = 9a -4 + 9a = 14 + -6a + 6a Combine like terms: -6a + 6a = 0 -4 + 9a = 14 + 0 -4 + 9a = 14 Add '4' to each side of the equation. -4 + 4 + 9a = 14 + 4 Combine like terms: -4 + 4 = 0 0 + 9a = 14 + 4 9a = 14 + 4 Combine like terms: 14 + 4 = 18 9a = 18 Divide each side by '9'. a = 2 Simplifying a = 2
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