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Simplifying 3z + -5z = -9z + 7 + 8z Combine like terms: 3z + -5z = -2z -2z = -9z + 7 + 8z Reorder the terms: -2z = 7 + -9z + 8z Combine like terms: -9z + 8z = -1z -2z = 7 + -1z Solving -2z = 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. -2z + z = 7 + -1z + z Combine like terms: -2z + z = -1z -1z = 7 + -1z + z Combine like terms: -1z + z = 0 -1z = 7 + 0 -1z = 7 Divide each side by '-1'. z = -7 Simplifying z = -7
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