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Simplifying 10z + -8 = 2z + 6 Reorder the terms: -8 + 10z = 2z + 6 Reorder the terms: -8 + 10z = 6 + 2z Solving -8 + 10z = 6 + 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. -8 + 10z + -2z = 6 + 2z + -2z Combine like terms: 10z + -2z = 8z -8 + 8z = 6 + 2z + -2z Combine like terms: 2z + -2z = 0 -8 + 8z = 6 + 0 -8 + 8z = 6 Add '8' to each side of the equation. -8 + 8 + 8z = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 8z = 6 + 8 8z = 6 + 8 Combine like terms: 6 + 8 = 14 8z = 14 Divide each side by '8'. z = 1.75 Simplifying z = 1.75
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