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