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Simplifying (3a + 4) = 1(12a + 84) Reorder the terms: (4 + 3a) = 1(12a + 84) Remove parenthesis around (4 + 3a) 4 + 3a = 1(12a + 84) Reorder the terms: 4 + 3a = 1(84 + 12a) 4 + 3a = (84 * 1 + 12a * 1) 4 + 3a = (84 + 12a) Solving 4 + 3a = 84 + 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. 4 + 3a + -12a = 84 + 12a + -12a Combine like terms: 3a + -12a = -9a 4 + -9a = 84 + 12a + -12a Combine like terms: 12a + -12a = 0 4 + -9a = 84 + 0 4 + -9a = 84 Add '-4' to each side of the equation. 4 + -4 + -9a = 84 + -4 Combine like terms: 4 + -4 = 0 0 + -9a = 84 + -4 -9a = 84 + -4 Combine like terms: 84 + -4 = 80 -9a = 80 Divide each side by '-9'. a = -8.888888889 Simplifying a = -8.888888889
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