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Simplifying 85 + -32 = 20z + 47 Combine like terms: 85 + -32 = 53 53 = 20z + 47 Reorder the terms: 53 = 47 + 20z Solving 53 = 47 + 20z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-20z' to each side of the equation. 53 + -20z = 47 + 20z + -20z Combine like terms: 20z + -20z = 0 53 + -20z = 47 + 0 53 + -20z = 47 Add '-53' to each side of the equation. 53 + -53 + -20z = 47 + -53 Combine like terms: 53 + -53 = 0 0 + -20z = 47 + -53 -20z = 47 + -53 Combine like terms: 47 + -53 = -6 -20z = -6 Divide each side by '-20'. z = 0.3 Simplifying z = 0.3
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