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Simplifying 3a + 67 = 8a + 12 Reorder the terms: 67 + 3a = 8a + 12 Reorder the terms: 67 + 3a = 12 + 8a Solving 67 + 3a = 12 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 67 + 3a + -8a = 12 + 8a + -8a Combine like terms: 3a + -8a = -5a 67 + -5a = 12 + 8a + -8a Combine like terms: 8a + -8a = 0 67 + -5a = 12 + 0 67 + -5a = 12 Add '-67' to each side of the equation. 67 + -67 + -5a = 12 + -67 Combine like terms: 67 + -67 = 0 0 + -5a = 12 + -67 -5a = 12 + -67 Combine like terms: 12 + -67 = -55 -5a = -55 Divide each side by '-5'. a = 11 Simplifying a = 11
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