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Simplifying -2z + 19 = 5z + 19 Reorder the terms: 19 + -2z = 5z + 19 Reorder the terms: 19 + -2z = 19 + 5z Add '-19' to each side of the equation. 19 + -19 + -2z = 19 + -19 + 5z Combine like terms: 19 + -19 = 0 0 + -2z = 19 + -19 + 5z -2z = 19 + -19 + 5z Combine like terms: 19 + -19 = 0 -2z = 0 + 5z -2z = 5z Solving -2z = 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. -2z + -5z = 5z + -5z Combine like terms: -2z + -5z = -7z -7z = 5z + -5z Combine like terms: 5z + -5z = 0 -7z = 0 Divide each side by '-7'. z = 0 Simplifying z = 0
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