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Simplifying 12a + -5 = 3a + 4 Reorder the terms: -5 + 12a = 3a + 4 Reorder the terms: -5 + 12a = 4 + 3a Solving -5 + 12a = 4 + 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 + 12a + -3a = 4 + 3a + -3a Combine like terms: 12a + -3a = 9a -5 + 9a = 4 + 3a + -3a Combine like terms: 3a + -3a = 0 -5 + 9a = 4 + 0 -5 + 9a = 4 Add '5' to each side of the equation. -5 + 5 + 9a = 4 + 5 Combine like terms: -5 + 5 = 0 0 + 9a = 4 + 5 9a = 4 + 5 Combine like terms: 4 + 5 = 9 9a = 9 Divide each side by '9'. a = 1 Simplifying a = 1
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