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Simplifying 2a + 4 = 7 + 5a Reorder the terms: 4 + 2a = 7 + 5a Solving 4 + 2a = 7 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 4 + 2a + -5a = 7 + 5a + -5a Combine like terms: 2a + -5a = -3a 4 + -3a = 7 + 5a + -5a Combine like terms: 5a + -5a = 0 4 + -3a = 7 + 0 4 + -3a = 7 Add '-4' to each side of the equation. 4 + -4 + -3a = 7 + -4 Combine like terms: 4 + -4 = 0 0 + -3a = 7 + -4 -3a = 7 + -4 Combine like terms: 7 + -4 = 3 -3a = 3 Divide each side by '-3'. a = -1 Simplifying a = -1
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