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Simplifying (A + 8) + -1(6a + 1) = 3 + -1a Reorder the terms: (8 + A) + -1(6a + 1) = 3 + -1a Remove parenthesis around (8 + A) 8 + A + -1(6a + 1) = 3 + -1a Reorder the terms: 8 + A + -1(1 + 6a) = 3 + -1a 8 + A + (1 * -1 + 6a * -1) = 3 + -1a 8 + A + (-1 + -6a) = 3 + -1a Reorder the terms: 8 + -1 + A + -6a = 3 + -1a Combine like terms: 8 + -1 = 7 7 + A + -6a = 3 + -1a Solving 7 + A + -6a = 3 + -1a Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + A + -7 + -6a = 3 + -7 + -1a Reorder the terms: 7 + -7 + A + -6a = 3 + -7 + -1a Combine like terms: 7 + -7 = 0 0 + A + -6a = 3 + -7 + -1a A + -6a = 3 + -7 + -1a Combine like terms: 3 + -7 = -4 A + -6a = -4 + -1a Add '6a' to each side of the equation. A + -6a + 6a = -4 + -1a + 6a Combine like terms: -6a + 6a = 0 A + 0 = -4 + -1a + 6a A = -4 + -1a + 6a Combine like terms: -1a + 6a = 5a A = -4 + 5a Simplifying A = -4 + 5a
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