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Simplifying 86 = 3z + 2 + 2z + 1 + 3z + 2 + 2z + 1 Reorder the terms: 86 = 2 + 1 + 2 + 1 + 3z + 2z + 3z + 2z Combine like terms: 2 + 1 = 3 86 = 3 + 2 + 1 + 3z + 2z + 3z + 2z Combine like terms: 3 + 2 = 5 86 = 5 + 1 + 3z + 2z + 3z + 2z Combine like terms: 5 + 1 = 6 86 = 6 + 3z + 2z + 3z + 2z Combine like terms: 3z + 2z = 5z 86 = 6 + 5z + 3z + 2z Combine like terms: 5z + 3z = 8z 86 = 6 + 8z + 2z Combine like terms: 8z + 2z = 10z 86 = 6 + 10z Solving 86 = 6 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. 86 + -10z = 6 + 10z + -10z Combine like terms: 10z + -10z = 0 86 + -10z = 6 + 0 86 + -10z = 6 Add '-86' to each side of the equation. 86 + -86 + -10z = 6 + -86 Combine like terms: 86 + -86 = 0 0 + -10z = 6 + -86 -10z = 6 + -86 Combine like terms: 6 + -86 = -80 -10z = -80 Divide each side by '-10'. z = 8 Simplifying z = 8
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