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Simplifying 10z + -40 = 6z Reorder the terms: -40 + 10z = 6z Solving -40 + 10z = 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. -40 + 10z + -6z = 6z + -6z Combine like terms: 10z + -6z = 4z -40 + 4z = 6z + -6z Combine like terms: 6z + -6z = 0 -40 + 4z = 0 Add '40' to each side of the equation. -40 + 40 + 4z = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 4z = 0 + 40 4z = 0 + 40 Combine like terms: 0 + 40 = 40 4z = 40 Divide each side by '4'. z = 10 Simplifying z = 10
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