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