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Simplifying 5a + 12 = 11a + 6 Reorder the terms: 12 + 5a = 11a + 6 Reorder the terms: 12 + 5a = 6 + 11a Solving 12 + 5a = 6 + 11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11a' to each side of the equation. 12 + 5a + -11a = 6 + 11a + -11a Combine like terms: 5a + -11a = -6a 12 + -6a = 6 + 11a + -11a Combine like terms: 11a + -11a = 0 12 + -6a = 6 + 0 12 + -6a = 6 Add '-12' to each side of the equation. 12 + -12 + -6a = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -6a = 6 + -12 -6a = 6 + -12 Combine like terms: 6 + -12 = -6 -6a = -6 Divide each side by '-6'. a = 1 Simplifying a = 1
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