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Simplifying -1(7 + -6A) + -1(22 + 5A) + -17 = -1(3 + -7A) + (-1A) + 2 (7 * -1 + -6A * -1) + -1(22 + 5A) + -17 = -1(3 + -7A) + (-1A) + 2 (-7 + 6A) + -1(22 + 5A) + -17 = -1(3 + -7A) + (-1A) + 2 -7 + 6A + (22 * -1 + 5A * -1) + -17 = -1(3 + -7A) + (-1A) + 2 -7 + 6A + (-22 + -5A) + -17 = -1(3 + -7A) + (-1A) + 2 Reorder the terms: -7 + -22 + -17 + 6A + -5A = -1(3 + -7A) + (-1A) + 2 Combine like terms: -7 + -22 = -29 -29 + -17 + 6A + -5A = -1(3 + -7A) + (-1A) + 2 Combine like terms: -29 + -17 = -46 -46 + 6A + -5A = -1(3 + -7A) + (-1A) + 2 Combine like terms: 6A + -5A = 1A -46 + 1A = -1(3 + -7A) + (-1A) + 2 -46 + 1A = (3 * -1 + -7A * -1) + (-1A) + 2 -46 + 1A = (-3 + 7A) + (-1A) + 2 Reorder the terms: -46 + 1A = -3 + 2 + 7A + (-1A) Combine like terms: -3 + 2 = -1 -46 + 1A = -1 + 7A + (-1A) Combine like terms: 7A + (-1A) = 6A -46 + 1A = -1 + 6A Solving -46 + 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. -46 + 1A + -6A = -1 + 6A + -6A Combine like terms: 1A + -6A = -5A -46 + -5A = -1 + 6A + -6A Combine like terms: 6A + -6A = 0 -46 + -5A = -1 + 0 -46 + -5A = -1 Add '46' to each side of the equation. -46 + 46 + -5A = -1 + 46 Combine like terms: -46 + 46 = 0 0 + -5A = -1 + 46 -5A = -1 + 46 Combine like terms: -1 + 46 = 45 -5A = 45 Divide each side by '-5'. A = -9 Simplifying A = -9
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