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Simplifying -5z + -2z = 2z + 7 + -3z Combine like terms: -5z + -2z = -7z -7z = 2z + 7 + -3z Reorder the terms: -7z = 7 + 2z + -3z Combine like terms: 2z + -3z = -1z -7z = 7 + -1z Solving -7z = 7 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -7z + z = 7 + -1z + z Combine like terms: -7z + z = -6z -6z = 7 + -1z + z Combine like terms: -1z + z = 0 -6z = 7 + 0 -6z = 7 Divide each side by '-6'. z = -1.166666667 Simplifying z = -1.166666667
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