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Simplifying -10z + 13 + 7z = -11 Reorder the terms: 13 + -10z + 7z = -11 Combine like terms: -10z + 7z = -3z 13 + -3z = -11 Solving 13 + -3z = -11 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -3z = -11 + -13 Combine like terms: 13 + -13 = 0 0 + -3z = -11 + -13 -3z = -11 + -13 Combine like terms: -11 + -13 = -24 -3z = -24 Divide each side by '-3'. z = 8 Simplifying z = 8
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