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Simplifying 6a + 12 = 12a + -16 Reorder the terms: 12 + 6a = 12a + -16 Reorder the terms: 12 + 6a = -16 + 12a Solving 12 + 6a = -16 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 12 + 6a + -12a = -16 + 12a + -12a Combine like terms: 6a + -12a = -6a 12 + -6a = -16 + 12a + -12a Combine like terms: 12a + -12a = 0 12 + -6a = -16 + 0 12 + -6a = -16 Add '-12' to each side of the equation. 12 + -12 + -6a = -16 + -12 Combine like terms: 12 + -12 = 0 0 + -6a = -16 + -12 -6a = -16 + -12 Combine like terms: -16 + -12 = -28 -6a = -28 Divide each side by '-6'. a = 4.666666667 Simplifying a = 4.666666667
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