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Simplifying 3 + 7a = 5 + -1a Solving 3 + 7a = 5 + -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 + 7a + a = 5 + -1a + a Combine like terms: 7a + a = 8a 3 + 8a = 5 + -1a + a Combine like terms: -1a + a = 0 3 + 8a = 5 + 0 3 + 8a = 5 Add '-3' to each side of the equation. 3 + -3 + 8a = 5 + -3 Combine like terms: 3 + -3 = 0 0 + 8a = 5 + -3 8a = 5 + -3 Combine like terms: 5 + -3 = 2 8a = 2 Divide each side by '8'. a = 0.25 Simplifying a = 0.25
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