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Simplifying 83 = 3(4a + 4) Reorder the terms: 83 = 3(4 + 4a) 83 = (4 * 3 + 4a * 3) 83 = (12 + 12a) Solving 83 = 12 + 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. 83 + -12a = 12 + 12a + -12a Combine like terms: 12a + -12a = 0 83 + -12a = 12 + 0 83 + -12a = 12 Add '-83' to each side of the equation. 83 + -83 + -12a = 12 + -83 Combine like terms: 83 + -83 = 0 0 + -12a = 12 + -83 -12a = 12 + -83 Combine like terms: 12 + -83 = -71 -12a = -71 Divide each side by '-12'. a = 5.916666667 Simplifying a = 5.916666667
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