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Simplifying 11z + -5 = 8z + 7 Reorder the terms: -5 + 11z = 8z + 7 Reorder the terms: -5 + 11z = 7 + 8z Solving -5 + 11z = 7 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -5 + 11z + -8z = 7 + 8z + -8z Combine like terms: 11z + -8z = 3z -5 + 3z = 7 + 8z + -8z Combine like terms: 8z + -8z = 0 -5 + 3z = 7 + 0 -5 + 3z = 7 Add '5' to each side of the equation. -5 + 5 + 3z = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 3z = 7 + 5 3z = 7 + 5 Combine like terms: 7 + 5 = 12 3z = 12 Divide each side by '3'. z = 4 Simplifying z = 4
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