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Simplifying 3z + -7z = 3z + -7 + 2z Combine like terms: 3z + -7z = -4z -4z = 3z + -7 + 2z Reorder the terms: -4z = -7 + 3z + 2z Combine like terms: 3z + 2z = 5z -4z = -7 + 5z Solving -4z = -7 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -4z + -5z = -7 + 5z + -5z Combine like terms: -4z + -5z = -9z -9z = -7 + 5z + -5z Combine like terms: 5z + -5z = 0 -9z = -7 + 0 -9z = -7 Divide each side by '-9'. z = 0.7777777778 Simplifying z = 0.7777777778
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