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Simplifying 2z + 4 = 5z + 2 + -2z Reorder the terms: 4 + 2z = 5z + 2 + -2z Reorder the terms: 4 + 2z = 2 + 5z + -2z Combine like terms: 5z + -2z = 3z 4 + 2z = 2 + 3z Solving 4 + 2z = 2 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 4 + 2z + -3z = 2 + 3z + -3z Combine like terms: 2z + -3z = -1z 4 + -1z = 2 + 3z + -3z Combine like terms: 3z + -3z = 0 4 + -1z = 2 + 0 4 + -1z = 2 Add '-4' to each side of the equation. 4 + -4 + -1z = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -1z = 2 + -4 -1z = 2 + -4 Combine like terms: 2 + -4 = -2 -1z = -2 Divide each side by '-1'. z = 2 Simplifying z = 2
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