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Simplifying -9z + 8 = -10 + -6z Reorder the terms: 8 + -9z = -10 + -6z Solving 8 + -9z = -10 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. 8 + -9z + 6z = -10 + -6z + 6z Combine like terms: -9z + 6z = -3z 8 + -3z = -10 + -6z + 6z Combine like terms: -6z + 6z = 0 8 + -3z = -10 + 0 8 + -3z = -10 Add '-8' to each side of the equation. 8 + -8 + -3z = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -3z = -10 + -8 -3z = -10 + -8 Combine like terms: -10 + -8 = -18 -3z = -18 Divide each side by '-3'. z = 6 Simplifying z = 6
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