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Simplifying 3a + 4 = -5a + 12 Reorder the terms: 4 + 3a = -5a + 12 Reorder the terms: 4 + 3a = 12 + -5a Solving 4 + 3a = 12 + -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. 4 + 3a + 5a = 12 + -5a + 5a Combine like terms: 3a + 5a = 8a 4 + 8a = 12 + -5a + 5a Combine like terms: -5a + 5a = 0 4 + 8a = 12 + 0 4 + 8a = 12 Add '-4' to each side of the equation. 4 + -4 + 8a = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 8a = 12 + -4 8a = 12 + -4 Combine like terms: 12 + -4 = 8 8a = 8 Divide each side by '8'. a = 1 Simplifying a = 1
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