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Simplifying -5a + 4 + 7a = 6a + -2a Reorder the terms: 4 + -5a + 7a = 6a + -2a Combine like terms: -5a + 7a = 2a 4 + 2a = 6a + -2a Combine like terms: 6a + -2a = 4a 4 + 2a = 4a Solving 4 + 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. 4 + 2a + -4a = 4a + -4a Combine like terms: 2a + -4a = -2a 4 + -2a = 4a + -4a Combine like terms: 4a + -4a = 0 4 + -2a = 0 Add '-4' to each side of the equation. 4 + -4 + -2a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2a = 0 + -4 -2a = 0 + -4 Combine like terms: 0 + -4 = -4 -2a = -4 Divide each side by '-2'. a = 2 Simplifying a = 2
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