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Simplifying 2z + -11 = 3z + 13 Reorder the terms: -11 + 2z = 3z + 13 Reorder the terms: -11 + 2z = 13 + 3z Solving -11 + 2z = 13 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -11 + 2z + -3z = 13 + 3z + -3z Combine like terms: 2z + -3z = -1z -11 + -1z = 13 + 3z + -3z Combine like terms: 3z + -3z = 0 -11 + -1z = 13 + 0 -11 + -1z = 13 Add '11' to each side of the equation. -11 + 11 + -1z = 13 + 11 Combine like terms: -11 + 11 = 0 0 + -1z = 13 + 11 -1z = 13 + 11 Combine like terms: 13 + 11 = 24 -1z = 24 Divide each side by '-1'. z = -24 Simplifying z = -24
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