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Simplifying 7a + 4 = 2a + 14 Reorder the terms: 4 + 7a = 2a + 14 Reorder the terms: 4 + 7a = 14 + 2a Solving 4 + 7a = 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. 4 + 7a + -2a = 14 + 2a + -2a Combine like terms: 7a + -2a = 5a 4 + 5a = 14 + 2a + -2a Combine like terms: 2a + -2a = 0 4 + 5a = 14 + 0 4 + 5a = 14 Add '-4' to each side of the equation. 4 + -4 + 5a = 14 + -4 Combine like terms: 4 + -4 = 0 0 + 5a = 14 + -4 5a = 14 + -4 Combine like terms: 14 + -4 = 10 5a = 10 Divide each side by '5'. a = 2 Simplifying a = 2
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