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Simplifying 7a + 12 = 5 + 6a Reorder the terms: 12 + 7a = 5 + 6a Solving 12 + 7a = 5 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 12 + 7a + -6a = 5 + 6a + -6a Combine like terms: 7a + -6a = 1a 12 + 1a = 5 + 6a + -6a Combine like terms: 6a + -6a = 0 12 + 1a = 5 + 0 12 + 1a = 5 Add '-12' to each side of the equation. 12 + -12 + 1a = 5 + -12 Combine like terms: 12 + -12 = 0 0 + 1a = 5 + -12 1a = 5 + -12 Combine like terms: 5 + -12 = -7 1a = -7 Divide each side by '1'. a = -7 Simplifying a = -7
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