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Simplifying 45 = 51 + -1z Solving 45 = 51 + -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. 45 + z = 51 + -1z + z Combine like terms: -1z + z = 0 45 + z = 51 + 0 45 + z = 51 Add '-45' to each side of the equation. 45 + -45 + z = 51 + -45 Combine like terms: 45 + -45 = 0 0 + z = 51 + -45 z = 51 + -45 Combine like terms: 51 + -45 = 6 z = 6 Simplifying z = 6
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