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