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Simplifying 12a + 6 = 10a + 22 Reorder the terms: 6 + 12a = 10a + 22 Reorder the terms: 6 + 12a = 22 + 10a Solving 6 + 12a = 22 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 6 + 12a + -10a = 22 + 10a + -10a Combine like terms: 12a + -10a = 2a 6 + 2a = 22 + 10a + -10a Combine like terms: 10a + -10a = 0 6 + 2a = 22 + 0 6 + 2a = 22 Add '-6' to each side of the equation. 6 + -6 + 2a = 22 + -6 Combine like terms: 6 + -6 = 0 0 + 2a = 22 + -6 2a = 22 + -6 Combine like terms: 22 + -6 = 16 2a = 16 Divide each side by '2'. a = 8 Simplifying a = 8
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