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Simplifying 5a + 12 = 6 + -3a Reorder the terms: 12 + 5a = 6 + -3a Solving 12 + 5a = 6 + -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. 12 + 5a + 3a = 6 + -3a + 3a Combine like terms: 5a + 3a = 8a 12 + 8a = 6 + -3a + 3a Combine like terms: -3a + 3a = 0 12 + 8a = 6 + 0 12 + 8a = 6 Add '-12' to each side of the equation. 12 + -12 + 8a = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 8a = 6 + -12 8a = 6 + -12 Combine like terms: 6 + -12 = -6 8a = -6 Divide each side by '8'. a = -0.75 Simplifying a = -0.75
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