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Simplifying 3a + 2 = 4a + 3 Reorder the terms: 2 + 3a = 4a + 3 Reorder the terms: 2 + 3a = 3 + 4a Solving 2 + 3a = 3 + 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. 2 + 3a + -4a = 3 + 4a + -4a Combine like terms: 3a + -4a = -1a 2 + -1a = 3 + 4a + -4a Combine like terms: 4a + -4a = 0 2 + -1a = 3 + 0 2 + -1a = 3 Add '-2' to each side of the equation. 2 + -2 + -1a = 3 + -2 Combine like terms: 2 + -2 = 0 0 + -1a = 3 + -2 -1a = 3 + -2 Combine like terms: 3 + -2 = 1 -1a = 1 Divide each side by '-1'. a = -1 Simplifying a = -1
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