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Simplifying 8 + -9z = 9z + -10 Reorder the terms: 8 + -9z = -10 + 9z Solving 8 + -9z = -10 + 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. 8 + -9z + -9z = -10 + 9z + -9z Combine like terms: -9z + -9z = -18z 8 + -18z = -10 + 9z + -9z Combine like terms: 9z + -9z = 0 8 + -18z = -10 + 0 8 + -18z = -10 Add '-8' to each side of the equation. 8 + -8 + -18z = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -18z = -10 + -8 -18z = -10 + -8 Combine like terms: -10 + -8 = -18 -18z = -18 Divide each side by '-18'. z = 1 Simplifying z = 1
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