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Simplifying 10z + 20 = 5z + -10 Reorder the terms: 20 + 10z = 5z + -10 Reorder the terms: 20 + 10z = -10 + 5z Solving 20 + 10z = -10 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 20 + 10z + -5z = -10 + 5z + -5z Combine like terms: 10z + -5z = 5z 20 + 5z = -10 + 5z + -5z Combine like terms: 5z + -5z = 0 20 + 5z = -10 + 0 20 + 5z = -10 Add '-20' to each side of the equation. 20 + -20 + 5z = -10 + -20 Combine like terms: 20 + -20 = 0 0 + 5z = -10 + -20 5z = -10 + -20 Combine like terms: -10 + -20 = -30 5z = -30 Divide each side by '5'. z = -6 Simplifying z = -6
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