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Simplifying a + 3 = 7 + -1a Reorder the terms: 3 + a = 7 + -1a Solving 3 + a = 7 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 3 + a + a = 7 + -1a + a Combine like terms: a + a = 2a 3 + 2a = 7 + -1a + a Combine like terms: -1a + a = 0 3 + 2a = 7 + 0 3 + 2a = 7 Add '-3' to each side of the equation. 3 + -3 + 2a = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 2a = 7 + -3 2a = 7 + -3 Combine like terms: 7 + -3 = 4 2a = 4 Divide each side by '2'. a = 2 Simplifying a = 2
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