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Simplifying -3z + 5 = 2z + 13 Reorder the terms: 5 + -3z = 2z + 13 Reorder the terms: 5 + -3z = 13 + 2z Solving 5 + -3z = 13 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 5 + -3z + -2z = 13 + 2z + -2z Combine like terms: -3z + -2z = -5z 5 + -5z = 13 + 2z + -2z Combine like terms: 2z + -2z = 0 5 + -5z = 13 + 0 5 + -5z = 13 Add '-5' to each side of the equation. 5 + -5 + -5z = 13 + -5 Combine like terms: 5 + -5 = 0 0 + -5z = 13 + -5 -5z = 13 + -5 Combine like terms: 13 + -5 = 8 -5z = 8 Divide each side by '-5'. z = -1.6 Simplifying z = -1.6
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