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Simplifying 5a + 6 = 12 + a Reorder the terms: 6 + 5a = 12 + a Solving 6 + 5a = 12 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 6 + 5a + -1a = 12 + a + -1a Combine like terms: 5a + -1a = 4a 6 + 4a = 12 + a + -1a Combine like terms: a + -1a = 0 6 + 4a = 12 + 0 6 + 4a = 12 Add '-6' to each side of the equation. 6 + -6 + 4a = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 4a = 12 + -6 4a = 12 + -6 Combine like terms: 12 + -6 = 6 4a = 6 Divide each side by '4'. a = 1.5 Simplifying a = 1.5
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