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Simplifying 4(3a + 1) = 11(a + 4) Reorder the terms: 4(1 + 3a) = 11(a + 4) (1 * 4 + 3a * 4) = 11(a + 4) (4 + 12a) = 11(a + 4) Reorder the terms: 4 + 12a = 11(4 + a) 4 + 12a = (4 * 11 + a * 11) 4 + 12a = (44 + 11a) Solving 4 + 12a = 44 + 11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11a' to each side of the equation. 4 + 12a + -11a = 44 + 11a + -11a Combine like terms: 12a + -11a = 1a 4 + 1a = 44 + 11a + -11a Combine like terms: 11a + -11a = 0 4 + 1a = 44 + 0 4 + 1a = 44 Add '-4' to each side of the equation. 4 + -4 + 1a = 44 + -4 Combine like terms: 4 + -4 = 0 0 + 1a = 44 + -4 1a = 44 + -4 Combine like terms: 44 + -4 = 40 1a = 40 Divide each side by '1'. a = 40 Simplifying a = 40
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