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Simplifying 2z + 11 = 5z + -7 Reorder the terms: 11 + 2z = 5z + -7 Reorder the terms: 11 + 2z = -7 + 5z Solving 11 + 2z = -7 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 11 + 2z + -5z = -7 + 5z + -5z Combine like terms: 2z + -5z = -3z 11 + -3z = -7 + 5z + -5z Combine like terms: 5z + -5z = 0 11 + -3z = -7 + 0 11 + -3z = -7 Add '-11' to each side of the equation. 11 + -11 + -3z = -7 + -11 Combine like terms: 11 + -11 = 0 0 + -3z = -7 + -11 -3z = -7 + -11 Combine like terms: -7 + -11 = -18 -3z = -18 Divide each side by '-3'. z = 6 Simplifying z = 6
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