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Simplifying 6 + 10z + -1 = 6z + 13 + -4z Reorder the terms: 6 + -1 + 10z = 6z + 13 + -4z Combine like terms: 6 + -1 = 5 5 + 10z = 6z + 13 + -4z Reorder the terms: 5 + 10z = 13 + 6z + -4z Combine like terms: 6z + -4z = 2z 5 + 10z = 13 + 2z Solving 5 + 10z = 13 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 5 + 10z + -2z = 13 + 2z + -2z Combine like terms: 10z + -2z = 8z 5 + 8z = 13 + 2z + -2z Combine like terms: 2z + -2z = 0 5 + 8z = 13 + 0 5 + 8z = 13 Add '-5' to each side of the equation. 5 + -5 + 8z = 13 + -5 Combine like terms: 5 + -5 = 0 0 + 8z = 13 + -5 8z = 13 + -5 Combine like terms: 13 + -5 = 8 8z = 8 Divide each side by '8'. z = 1 Simplifying z = 1
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