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Simplifying 8z + 10 = 2z + 6 + 8z Reorder the terms: 10 + 8z = 2z + 6 + 8z Reorder the terms: 10 + 8z = 6 + 2z + 8z Combine like terms: 2z + 8z = 10z 10 + 8z = 6 + 10z Solving 10 + 8z = 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. 10 + 8z + -10z = 6 + 10z + -10z Combine like terms: 8z + -10z = -2z 10 + -2z = 6 + 10z + -10z Combine like terms: 10z + -10z = 0 10 + -2z = 6 + 0 10 + -2z = 6 Add '-10' to each side of the equation. 10 + -10 + -2z = 6 + -10 Combine like terms: 10 + -10 = 0 0 + -2z = 6 + -10 -2z = 6 + -10 Combine like terms: 6 + -10 = -4 -2z = -4 Divide each side by '-2'. z = 2 Simplifying z = 2
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