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Simplifying -2z + 3z = 7z + -7 + -3z Combine like terms: -2z + 3z = 1z 1z = 7z + -7 + -3z Reorder the terms: 1z = -7 + 7z + -3z Combine like terms: 7z + -3z = 4z 1z = -7 + 4z Solving 1z = -7 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 1z + -4z = -7 + 4z + -4z Combine like terms: 1z + -4z = -3z -3z = -7 + 4z + -4z Combine like terms: 4z + -4z = 0 -3z = -7 + 0 -3z = -7 Divide each side by '-3'. z = 2.333333333 Simplifying z = 2.333333333
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