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Simplifying 2(2z + -3A) + 3A = 2A + -2(3A + -3z) Reorder the terms: 2(-3A + 2z) + 3A = 2A + -2(3A + -3z) (-3A * 2 + 2z * 2) + 3A = 2A + -2(3A + -3z) (-6A + 4z) + 3A = 2A + -2(3A + -3z) Reorder the terms: -6A + 3A + 4z = 2A + -2(3A + -3z) Combine like terms: -6A + 3A = -3A -3A + 4z = 2A + -2(3A + -3z) -3A + 4z = 2A + (3A * -2 + -3z * -2) -3A + 4z = 2A + (-6A + 6z) Combine like terms: 2A + -6A = -4A -3A + 4z = -4A + 6z Solving -3A + 4z = -4A + 6z 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. -3A + 4A + 4z = -4A + 4A + 6z Combine like terms: -3A + 4A = 1A 1A + 4z = -4A + 4A + 6z Combine like terms: -4A + 4A = 0 1A + 4z = 0 + 6z 1A + 4z = 6z Add '-4z' to each side of the equation. 1A + 4z + -4z = 6z + -4z Combine like terms: 4z + -4z = 0 1A + 0 = 6z + -4z 1A = 6z + -4z Combine like terms: 6z + -4z = 2z 1A = 2z Divide each side by '1'. A = 2z Simplifying A = 2z
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