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Simplifying 84 = 3(4a + 4) Reorder the terms: 84 = 3(4 + 4a) 84 = (4 * 3 + 4a * 3) 84 = (12 + 12a) Solving 84 = 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. 84 + -12a = 12 + 12a + -12a Combine like terms: 12a + -12a = 0 84 + -12a = 12 + 0 84 + -12a = 12 Add '-84' to each side of the equation. 84 + -84 + -12a = 12 + -84 Combine like terms: 84 + -84 = 0 0 + -12a = 12 + -84 -12a = 12 + -84 Combine like terms: 12 + -84 = -72 -12a = -72 Divide each side by '-12'. a = 6 Simplifying a = 6
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