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Simplifying 2z + 5 = 5z + -13 Reorder the terms: 5 + 2z = 5z + -13 Reorder the terms: 5 + 2z = -13 + 5z Solving 5 + 2z = -13 + 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. 5 + 2z + -5z = -13 + 5z + -5z Combine like terms: 2z + -5z = -3z 5 + -3z = -13 + 5z + -5z Combine like terms: 5z + -5z = 0 5 + -3z = -13 + 0 5 + -3z = -13 Add '-5' to each side of the equation. 5 + -5 + -3z = -13 + -5 Combine like terms: 5 + -5 = 0 0 + -3z = -13 + -5 -3z = -13 + -5 Combine like terms: -13 + -5 = -18 -3z = -18 Divide each side by '-3'. z = 6 Simplifying z = 6
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