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Simplifying 10z + -7 = 6z + 5 Reorder the terms: -7 + 10z = 6z + 5 Reorder the terms: -7 + 10z = 5 + 6z Solving -7 + 10z = 5 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -7 + 10z + -6z = 5 + 6z + -6z Combine like terms: 10z + -6z = 4z -7 + 4z = 5 + 6z + -6z Combine like terms: 6z + -6z = 0 -7 + 4z = 5 + 0 -7 + 4z = 5 Add '7' to each side of the equation. -7 + 7 + 4z = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 4z = 5 + 7 4z = 5 + 7 Combine like terms: 5 + 7 = 12 4z = 12 Divide each side by '4'. z = 3 Simplifying z = 3
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