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