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Simplifying 7(A + -7) + 4A = 83 Reorder the terms: 7(-7 + A) + 4A = 83 (-7 * 7 + A * 7) + 4A = 83 (-49 + 7A) + 4A = 83 Combine like terms: 7A + 4A = 11A -49 + 11A = 83 Solving -49 + 11A = 83 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 11A = 83 + 49 Combine like terms: -49 + 49 = 0 0 + 11A = 83 + 49 11A = 83 + 49 Combine like terms: 83 + 49 = 132 11A = 132 Divide each side by '11'. A = 12 Simplifying A = 12
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