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Simplifying z + 2 + -2z = 5 + 3z Reorder the terms: 2 + z + -2z = 5 + 3z Combine like terms: z + -2z = -1z 2 + -1z = 5 + 3z Solving 2 + -1z = 5 + 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. 2 + -1z + -3z = 5 + 3z + -3z Combine like terms: -1z + -3z = -4z 2 + -4z = 5 + 3z + -3z Combine like terms: 3z + -3z = 0 2 + -4z = 5 + 0 2 + -4z = 5 Add '-2' to each side of the equation. 2 + -2 + -4z = 5 + -2 Combine like terms: 2 + -2 = 0 0 + -4z = 5 + -2 -4z = 5 + -2 Combine like terms: 5 + -2 = 3 -4z = 3 Divide each side by '-4'. z = -0.75 Simplifying z = -0.75
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