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Simplifying -1(7 + -8A) + -1(2 + 7A) + -27 = -1(3 + -7A) + (-1A) + 2 (7 * -1 + -8A * -1) + -1(2 + 7A) + -27 = -1(3 + -7A) + (-1A) + 2 (-7 + 8A) + -1(2 + 7A) + -27 = -1(3 + -7A) + (-1A) + 2 -7 + 8A + (2 * -1 + 7A * -1) + -27 = -1(3 + -7A) + (-1A) + 2 -7 + 8A + (-2 + -7A) + -27 = -1(3 + -7A) + (-1A) + 2 Reorder the terms: -7 + -2 + -27 + 8A + -7A = -1(3 + -7A) + (-1A) + 2 Combine like terms: -7 + -2 = -9 -9 + -27 + 8A + -7A = -1(3 + -7A) + (-1A) + 2 Combine like terms: -9 + -27 = -36 -36 + 8A + -7A = -1(3 + -7A) + (-1A) + 2 Combine like terms: 8A + -7A = 1A -36 + 1A = -1(3 + -7A) + (-1A) + 2 -36 + 1A = (3 * -1 + -7A * -1) + (-1A) + 2 -36 + 1A = (-3 + 7A) + (-1A) + 2 Reorder the terms: -36 + 1A = -3 + 2 + 7A + (-1A) Combine like terms: -3 + 2 = -1 -36 + 1A = -1 + 7A + (-1A) Combine like terms: 7A + (-1A) = 6A -36 + 1A = -1 + 6A Solving -36 + 1A = -1 + 6A Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-6A' to each side of the equation. -36 + 1A + -6A = -1 + 6A + -6A Combine like terms: 1A + -6A = -5A -36 + -5A = -1 + 6A + -6A Combine like terms: 6A + -6A = 0 -36 + -5A = -1 + 0 -36 + -5A = -1 Add '36' to each side of the equation. -36 + 36 + -5A = -1 + 36 Combine like terms: -36 + 36 = 0 0 + -5A = -1 + 36 -5A = -1 + 36 Combine like terms: -1 + 36 = 35 -5A = 35 Divide each side by '-5'. A = -7 Simplifying A = -7
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