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Simplifying 3z + -7z = -3z + -7 + 5z Combine like terms: 3z + -7z = -4z -4z = -3z + -7 + 5z Reorder the terms: -4z = -7 + -3z + 5z Combine like terms: -3z + 5z = 2z -4z = -7 + 2z Solving -4z = -7 + 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 = -7 + 2z + -2z Combine like terms: -4z + -2z = -6z -6z = -7 + 2z + -2z Combine like terms: 2z + -2z = 0 -6z = -7 + 0 -6z = -7 Divide each side by '-6'. z = 1.166666667 Simplifying z = 1.166666667
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