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Simplifying 13 + 7 = 32 + -1z Combine like terms: 13 + 7 = 20 20 = 32 + -1z Solving 20 = 32 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 20 + z = 32 + -1z + z Combine like terms: -1z + z = 0 20 + z = 32 + 0 20 + z = 32 Add '-20' to each side of the equation. 20 + -20 + z = 32 + -20 Combine like terms: 20 + -20 = 0 0 + z = 32 + -20 z = 32 + -20 Combine like terms: 32 + -20 = 12 z = 12 Simplifying z = 12
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