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Simplifying 14z + -13 = 11z + 5 Reorder the terms: -13 + 14z = 11z + 5 Reorder the terms: -13 + 14z = 5 + 11z Solving -13 + 14z = 5 + 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. -13 + 14z + -11z = 5 + 11z + -11z Combine like terms: 14z + -11z = 3z -13 + 3z = 5 + 11z + -11z Combine like terms: 11z + -11z = 0 -13 + 3z = 5 + 0 -13 + 3z = 5 Add '13' to each side of the equation. -13 + 13 + 3z = 5 + 13 Combine like terms: -13 + 13 = 0 0 + 3z = 5 + 13 3z = 5 + 13 Combine like terms: 5 + 13 = 18 3z = 18 Divide each side by '3'. z = 6 Simplifying z = 6
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