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Simplifying 7z + -1(3z + -3) = 3 + 2z Reorder the terms: 7z + -1(-3 + 3z) = 3 + 2z 7z + (-3 * -1 + 3z * -1) = 3 + 2z 7z + (3 + -3z) = 3 + 2z Reorder the terms: 3 + 7z + -3z = 3 + 2z Combine like terms: 7z + -3z = 4z 3 + 4z = 3 + 2z Add '-3' to each side of the equation. 3 + -3 + 4z = 3 + -3 + 2z Combine like terms: 3 + -3 = 0 0 + 4z = 3 + -3 + 2z 4z = 3 + -3 + 2z Combine like terms: 3 + -3 = 0 4z = 0 + 2z 4z = 2z Solving 4z = 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 4z + -2z = 2z + -2z Combine like terms: 4z + -2z = 2z 2z = 2z + -2z Combine like terms: 2z + -2z = 0 2z = 0 Divide each side by '2'. z = 0 Simplifying z = 0
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