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Simplifying 3a + 7 = 4a + 9 Reorder the terms: 7 + 3a = 4a + 9 Reorder the terms: 7 + 3a = 9 + 4a Solving 7 + 3a = 9 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 7 + 3a + -4a = 9 + 4a + -4a Combine like terms: 3a + -4a = -1a 7 + -1a = 9 + 4a + -4a Combine like terms: 4a + -4a = 0 7 + -1a = 9 + 0 7 + -1a = 9 Add '-7' to each side of the equation. 7 + -7 + -1a = 9 + -7 Combine like terms: 7 + -7 = 0 0 + -1a = 9 + -7 -1a = 9 + -7 Combine like terms: 9 + -7 = 2 -1a = 2 Divide each side by '-1'. a = -2 Simplifying a = -2
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