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Simplifying 5z + 2 = 6z + -2z Reorder the terms: 2 + 5z = 6z + -2z Combine like terms: 6z + -2z = 4z 2 + 5z = 4z Solving 2 + 5z = 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 2 + 5z + -4z = 4z + -4z Combine like terms: 5z + -4z = 1z 2 + 1z = 4z + -4z Combine like terms: 4z + -4z = 0 2 + 1z = 0 Add '-2' to each side of the equation. 2 + -2 + 1z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 1z = 0 + -2 1z = 0 + -2 Combine like terms: 0 + -2 = -2 1z = -2 Divide each side by '1'. z = -2 Simplifying z = -2
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