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Simplifying 5a + 6 = 12 + -3a Reorder the terms: 6 + 5a = 12 + -3a Solving 6 + 5a = 12 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 6 + 5a + 3a = 12 + -3a + 3a Combine like terms: 5a + 3a = 8a 6 + 8a = 12 + -3a + 3a Combine like terms: -3a + 3a = 0 6 + 8a = 12 + 0 6 + 8a = 12 Add '-6' to each side of the equation. 6 + -6 + 8a = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 8a = 12 + -6 8a = 12 + -6 Combine like terms: 12 + -6 = 6 8a = 6 Divide each side by '8'. a = 0.75 Simplifying a = 0.75
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