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Simplifying 5 + a = 7 + -1a Solving 5 + 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. 5 + a + a = 7 + -1a + a Combine like terms: a + a = 2a 5 + 2a = 7 + -1a + a Combine like terms: -1a + a = 0 5 + 2a = 7 + 0 5 + 2a = 7 Add '-5' to each side of the equation. 5 + -5 + 2a = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 2a = 7 + -5 2a = 7 + -5 Combine like terms: 7 + -5 = 2 2a = 2 Divide each side by '2'. a = 1 Simplifying a = 1
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