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Simplifying 8z + 5 + -3z = 61 + -3z Reorder the terms: 5 + 8z + -3z = 61 + -3z Combine like terms: 8z + -3z = 5z 5 + 5z = 61 + -3z Solving 5 + 5z = 61 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 5 + 5z + 3z = 61 + -3z + 3z Combine like terms: 5z + 3z = 8z 5 + 8z = 61 + -3z + 3z Combine like terms: -3z + 3z = 0 5 + 8z = 61 + 0 5 + 8z = 61 Add '-5' to each side of the equation. 5 + -5 + 8z = 61 + -5 Combine like terms: 5 + -5 = 0 0 + 8z = 61 + -5 8z = 61 + -5 Combine like terms: 61 + -5 = 56 8z = 56 Divide each side by '8'. z = 7 Simplifying z = 7
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