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Simplifying 8 + 2z + -1 = 9z + 7 + -4z Reorder the terms: 8 + -1 + 2z = 9z + 7 + -4z Combine like terms: 8 + -1 = 7 7 + 2z = 9z + 7 + -4z Reorder the terms: 7 + 2z = 7 + 9z + -4z Combine like terms: 9z + -4z = 5z 7 + 2z = 7 + 5z Add '-7' to each side of the equation. 7 + -7 + 2z = 7 + -7 + 5z Combine like terms: 7 + -7 = 0 0 + 2z = 7 + -7 + 5z 2z = 7 + -7 + 5z Combine like terms: 7 + -7 = 0 2z = 0 + 5z 2z = 5z Solving 2z = 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. 2z + -5z = 5z + -5z Combine like terms: 2z + -5z = -3z -3z = 5z + -5z Combine like terms: 5z + -5z = 0 -3z = 0 Divide each side by '-3'. z = 0 Simplifying z = 0
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