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