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Simplifying 3A + 4(a + 5) = 11 + 7a Reorder the terms: 3A + 4(5 + a) = 11 + 7a 3A + (5 * 4 + a * 4) = 11 + 7a 3A + (20 + 4a) = 11 + 7a Reorder the terms: 20 + 3A + 4a = 11 + 7a Solving 20 + 3A + 4a = 11 + 7a Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 3A + -20 + 4a = 11 + -20 + 7a Reorder the terms: 20 + -20 + 3A + 4a = 11 + -20 + 7a Combine like terms: 20 + -20 = 0 0 + 3A + 4a = 11 + -20 + 7a 3A + 4a = 11 + -20 + 7a Combine like terms: 11 + -20 = -9 3A + 4a = -9 + 7a Add '-4a' to each side of the equation. 3A + 4a + -4a = -9 + 7a + -4a Combine like terms: 4a + -4a = 0 3A + 0 = -9 + 7a + -4a 3A = -9 + 7a + -4a Combine like terms: 7a + -4a = 3a 3A = -9 + 3a Divide each side by '3'. A = -3 + a Simplifying A = -3 + a
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