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Simplifying 2[A + 5] = 2[2A + 3] Reorder the terms: 2[5 + A] = 2[2A + 3] [5 * 2 + A * 2] = 2[2A + 3] [10 + 2A] = 2[2A + 3] Reorder the terms: 10 + 2A = 2[3 + 2A] 10 + 2A = [3 * 2 + 2A * 2] 10 + 2A = [6 + 4A] Solving 10 + 2A = 6 + 4A Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-4A' to each side of the equation. 10 + 2A + -4A = 6 + 4A + -4A Combine like terms: 2A + -4A = -2A 10 + -2A = 6 + 4A + -4A Combine like terms: 4A + -4A = 0 10 + -2A = 6 + 0 10 + -2A = 6 Add '-10' to each side of the equation. 10 + -10 + -2A = 6 + -10 Combine like terms: 10 + -10 = 0 0 + -2A = 6 + -10 -2A = 6 + -10 Combine like terms: 6 + -10 = -4 -2A = -4 Divide each side by '-2'. A = 2 Simplifying A = 2
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