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Simplifying 2z + -7z = 6z + 7 + -8z Combine like terms: 2z + -7z = -5z -5z = 6z + 7 + -8z Reorder the terms: -5z = 7 + 6z + -8z Combine like terms: 6z + -8z = -2z -5z = 7 + -2z Solving -5z = 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. -5z + 2z = 7 + -2z + 2z Combine like terms: -5z + 2z = -3z -3z = 7 + -2z + 2z Combine like terms: -2z + 2z = 0 -3z = 7 + 0 -3z = 7 Divide each side by '-3'. z = -2.333333333 Simplifying z = -2.333333333
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