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Simplifying 5a + -3a + 7 + -4 = 1 Reorder the terms: 7 + -4 + 5a + -3a = 1 Combine like terms: 7 + -4 = 3 3 + 5a + -3a = 1 Combine like terms: 5a + -3a = 2a 3 + 2a = 1 Solving 3 + 2a = 1 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2a = 1 + -3 Combine like terms: 3 + -3 = 0 0 + 2a = 1 + -3 2a = 1 + -3 Combine like terms: 1 + -3 = -2 2a = -2 Divide each side by '2'. a = -1 Simplifying a = -1
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