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Simplifying 7A + 4 = 2(A + 42) Reorder the terms: 4 + 7A = 2(A + 42) Reorder the terms: 4 + 7A = 2(42 + A) 4 + 7A = (42 * 2 + A * 2) 4 + 7A = (84 + 2A) Solving 4 + 7A = 84 + 2A Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-2A' to each side of the equation. 4 + 7A + -2A = 84 + 2A + -2A Combine like terms: 7A + -2A = 5A 4 + 5A = 84 + 2A + -2A Combine like terms: 2A + -2A = 0 4 + 5A = 84 + 0 4 + 5A = 84 Add '-4' to each side of the equation. 4 + -4 + 5A = 84 + -4 Combine like terms: 4 + -4 = 0 0 + 5A = 84 + -4 5A = 84 + -4 Combine like terms: 84 + -4 = 80 5A = 80 Divide each side by '5'. A = 16 Simplifying A = 16
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