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Simplifying 57 = 5z + -2 + z + 1 + 4z + 8 Reorder the terms: 57 = -2 + 1 + 8 + 5z + z + 4z Combine like terms: -2 + 1 = -1 57 = -1 + 8 + 5z + z + 4z Combine like terms: -1 + 8 = 7 57 = 7 + 5z + z + 4z Combine like terms: 5z + z = 6z 57 = 7 + 6z + 4z Combine like terms: 6z + 4z = 10z 57 = 7 + 10z Solving 57 = 7 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. 57 + -10z = 7 + 10z + -10z Combine like terms: 10z + -10z = 0 57 + -10z = 7 + 0 57 + -10z = 7 Add '-57' to each side of the equation. 57 + -57 + -10z = 7 + -57 Combine like terms: 57 + -57 = 0 0 + -10z = 7 + -57 -10z = 7 + -57 Combine like terms: 7 + -57 = -50 -10z = -50 Divide each side by '-10'. z = 5 Simplifying z = 5
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