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Simplifying 21z + 71 = 45z + -49 Reorder the terms: 71 + 21z = 45z + -49 Reorder the terms: 71 + 21z = -49 + 45z Solving 71 + 21z = -49 + 45z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-45z' to each side of the equation. 71 + 21z + -45z = -49 + 45z + -45z Combine like terms: 21z + -45z = -24z 71 + -24z = -49 + 45z + -45z Combine like terms: 45z + -45z = 0 71 + -24z = -49 + 0 71 + -24z = -49 Add '-71' to each side of the equation. 71 + -71 + -24z = -49 + -71 Combine like terms: 71 + -71 = 0 0 + -24z = -49 + -71 -24z = -49 + -71 Combine like terms: -49 + -71 = -120 -24z = -120 Divide each side by '-24'. z = 5 Simplifying z = 5
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