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Simplifying 10 + 2z = z + 12 Reorder the terms: 10 + 2z = 12 + z Solving 10 + 2z = 12 + 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. 10 + 2z + -1z = 12 + z + -1z Combine like terms: 2z + -1z = 1z 10 + 1z = 12 + z + -1z Combine like terms: z + -1z = 0 10 + 1z = 12 + 0 10 + 1z = 12 Add '-10' to each side of the equation. 10 + -10 + 1z = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 1z = 12 + -10 1z = 12 + -10 Combine like terms: 12 + -10 = 2 1z = 2 Divide each side by '1'. z = 2 Simplifying z = 2
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