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Simplifying 3(A + 4) + 5(A + -1) = 71 Reorder the terms: 3(4 + A) + 5(A + -1) = 71 (4 * 3 + A * 3) + 5(A + -1) = 71 (12 + 3A) + 5(A + -1) = 71 Reorder the terms: 12 + 3A + 5(-1 + A) = 71 12 + 3A + (-1 * 5 + A * 5) = 71 12 + 3A + (-5 + 5A) = 71 Reorder the terms: 12 + -5 + 3A + 5A = 71 Combine like terms: 12 + -5 = 7 7 + 3A + 5A = 71 Combine like terms: 3A + 5A = 8A 7 + 8A = 71 Solving 7 + 8A = 71 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 + -7 + 8A = 71 + -7 Combine like terms: 7 + -7 = 0 0 + 8A = 71 + -7 8A = 71 + -7 Combine like terms: 71 + -7 = 64 8A = 64 Divide each side by '8'. A = 8 Simplifying A = 8
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