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Simplifying -3 + 8z = 9z + 7 Reorder the terms: -3 + 8z = 7 + 9z Solving -3 + 8z = 7 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -3 + 8z + -9z = 7 + 9z + -9z Combine like terms: 8z + -9z = -1z -3 + -1z = 7 + 9z + -9z Combine like terms: 9z + -9z = 0 -3 + -1z = 7 + 0 -3 + -1z = 7 Add '3' to each side of the equation. -3 + 3 + -1z = 7 + 3 Combine like terms: -3 + 3 = 0 0 + -1z = 7 + 3 -1z = 7 + 3 Combine like terms: 7 + 3 = 10 -1z = 10 Divide each side by '-1'. z = -10 Simplifying z = -10
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