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Simplifying -2z + 13 = 38 + 5z + -3 Reorder the terms: 13 + -2z = 38 + 5z + -3 Reorder the terms: 13 + -2z = 38 + -3 + 5z Combine like terms: 38 + -3 = 35 13 + -2z = 35 + 5z Solving 13 + -2z = 35 + 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. 13 + -2z + -5z = 35 + 5z + -5z Combine like terms: -2z + -5z = -7z 13 + -7z = 35 + 5z + -5z Combine like terms: 5z + -5z = 0 13 + -7z = 35 + 0 13 + -7z = 35 Add '-13' to each side of the equation. 13 + -13 + -7z = 35 + -13 Combine like terms: 13 + -13 = 0 0 + -7z = 35 + -13 -7z = 35 + -13 Combine like terms: 35 + -13 = 22 -7z = 22 Divide each side by '-7'. z = -3.142857143 Simplifying z = -3.142857143
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