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Simplifying 3z + 20 = 5z + -11 Reorder the terms: 20 + 3z = 5z + -11 Reorder the terms: 20 + 3z = -11 + 5z Solving 20 + 3z = -11 + 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 + 3z + -5z = -11 + 5z + -5z Combine like terms: 3z + -5z = -2z 20 + -2z = -11 + 5z + -5z Combine like terms: 5z + -5z = 0 20 + -2z = -11 + 0 20 + -2z = -11 Add '-20' to each side of the equation. 20 + -20 + -2z = -11 + -20 Combine like terms: 20 + -20 = 0 0 + -2z = -11 + -20 -2z = -11 + -20 Combine like terms: -11 + -20 = -31 -2z = -31 Divide each side by '-2'. z = 15.5 Simplifying z = 15.5
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