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Simplifying 7a + 3 = 43 + -1a Reorder the terms: 3 + 7a = 43 + -1a Solving 3 + 7a = 43 + -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 = 43 + -1a + a Combine like terms: 7a + a = 8a 3 + 8a = 43 + -1a + a Combine like terms: -1a + a = 0 3 + 8a = 43 + 0 3 + 8a = 43 Add '-3' to each side of the equation. 3 + -3 + 8a = 43 + -3 Combine like terms: 3 + -3 = 0 0 + 8a = 43 + -3 8a = 43 + -3 Combine like terms: 43 + -3 = 40 8a = 40 Divide each side by '8'. a = 5 Simplifying a = 5
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