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Simplifying 10 + -8z = -11z + 7 Reorder the terms: 10 + -8z = 7 + -11z Solving 10 + -8z = 7 + -11z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '11z' to each side of the equation. 10 + -8z + 11z = 7 + -11z + 11z Combine like terms: -8z + 11z = 3z 10 + 3z = 7 + -11z + 11z Combine like terms: -11z + 11z = 0 10 + 3z = 7 + 0 10 + 3z = 7 Add '-10' to each side of the equation. 10 + -10 + 3z = 7 + -10 Combine like terms: 10 + -10 = 0 0 + 3z = 7 + -10 3z = 7 + -10 Combine like terms: 7 + -10 = -3 3z = -3 Divide each side by '3'. z = -1 Simplifying z = -1
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