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