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Simplifying 11z + 20 = 51z + 16 Reorder the terms: 20 + 11z = 51z + 16 Reorder the terms: 20 + 11z = 16 + 51z Solving 20 + 11z = 16 + 51z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-51z' to each side of the equation. 20 + 11z + -51z = 16 + 51z + -51z Combine like terms: 11z + -51z = -40z 20 + -40z = 16 + 51z + -51z Combine like terms: 51z + -51z = 0 20 + -40z = 16 + 0 20 + -40z = 16 Add '-20' to each side of the equation. 20 + -20 + -40z = 16 + -20 Combine like terms: 20 + -20 = 0 0 + -40z = 16 + -20 -40z = 16 + -20 Combine like terms: 16 + -20 = -4 -40z = -4 Divide each side by '-40'. z = 0.1 Simplifying z = 0.1
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