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Simplifying 61 = 11 + 10 + 2z + z + 3 + 3z + 1 Reorder the terms: 61 = 11 + 10 + 3 + 1 + 2z + z + 3z Combine like terms: 11 + 10 = 21 61 = 21 + 3 + 1 + 2z + z + 3z Combine like terms: 21 + 3 = 24 61 = 24 + 1 + 2z + z + 3z Combine like terms: 24 + 1 = 25 61 = 25 + 2z + z + 3z Combine like terms: 2z + z = 3z 61 = 25 + 3z + 3z Combine like terms: 3z + 3z = 6z 61 = 25 + 6z Solving 61 = 25 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 61 + -6z = 25 + 6z + -6z Combine like terms: 6z + -6z = 0 61 + -6z = 25 + 0 61 + -6z = 25 Add '-61' to each side of the equation. 61 + -61 + -6z = 25 + -61 Combine like terms: 61 + -61 = 0 0 + -6z = 25 + -61 -6z = 25 + -61 Combine like terms: 25 + -61 = -36 -6z = -36 Divide each side by '-6'. z = 6 Simplifying z = 6
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