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Simplifying 4a + 3 = 5a + -2 Reorder the terms: 3 + 4a = 5a + -2 Reorder the terms: 3 + 4a = -2 + 5a Solving 3 + 4a = -2 + 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. 3 + 4a + -5a = -2 + 5a + -5a Combine like terms: 4a + -5a = -1a 3 + -1a = -2 + 5a + -5a Combine like terms: 5a + -5a = 0 3 + -1a = -2 + 0 3 + -1a = -2 Add '-3' to each side of the equation. 3 + -3 + -1a = -2 + -3 Combine like terms: 3 + -3 = 0 0 + -1a = -2 + -3 -1a = -2 + -3 Combine like terms: -2 + -3 = -5 -1a = -5 Divide each side by '-1'. a = 5 Simplifying a = 5
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