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Simplifying 12a + -3 = 7a + 32 Reorder the terms: -3 + 12a = 7a + 32 Reorder the terms: -3 + 12a = 32 + 7a Solving -3 + 12a = 32 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -3 + 12a + -7a = 32 + 7a + -7a Combine like terms: 12a + -7a = 5a -3 + 5a = 32 + 7a + -7a Combine like terms: 7a + -7a = 0 -3 + 5a = 32 + 0 -3 + 5a = 32 Add '3' to each side of the equation. -3 + 3 + 5a = 32 + 3 Combine like terms: -3 + 3 = 0 0 + 5a = 32 + 3 5a = 32 + 3 Combine like terms: 32 + 3 = 35 5a = 35 Divide each side by '5'. a = 7 Simplifying a = 7
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