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Simplifying 3a + 5 + -4a = 7 + -3a + -8 Reorder the terms: 5 + 3a + -4a = 7 + -3a + -8 Combine like terms: 3a + -4a = -1a 5 + -1a = 7 + -3a + -8 Reorder the terms: 5 + -1a = 7 + -8 + -3a Combine like terms: 7 + -8 = -1 5 + -1a = -1 + -3a Solving 5 + -1a = -1 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 5 + -1a + 3a = -1 + -3a + 3a Combine like terms: -1a + 3a = 2a 5 + 2a = -1 + -3a + 3a Combine like terms: -3a + 3a = 0 5 + 2a = -1 + 0 5 + 2a = -1 Add '-5' to each side of the equation. 5 + -5 + 2a = -1 + -5 Combine like terms: 5 + -5 = 0 0 + 2a = -1 + -5 2a = -1 + -5 Combine like terms: -1 + -5 = -6 2a = -6 Divide each side by '2'. a = -3 Simplifying a = -3
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