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Simplifying -4a + 7 = 8 + -5a Reorder the terms: 7 + -4a = 8 + -5a Solving 7 + -4a = 8 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 7 + -4a + 5a = 8 + -5a + 5a Combine like terms: -4a + 5a = 1a 7 + 1a = 8 + -5a + 5a Combine like terms: -5a + 5a = 0 7 + 1a = 8 + 0 7 + 1a = 8 Add '-7' to each side of the equation. 7 + -7 + 1a = 8 + -7 Combine like terms: 7 + -7 = 0 0 + 1a = 8 + -7 1a = 8 + -7 Combine like terms: 8 + -7 = 1 1a = 1 Divide each side by '1'. a = 1 Simplifying a = 1
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