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