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Simplifying 6z + 40 = 2z + 72 Reorder the terms: 40 + 6z = 2z + 72 Reorder the terms: 40 + 6z = 72 + 2z Solving 40 + 6z = 72 + 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. 40 + 6z + -2z = 72 + 2z + -2z Combine like terms: 6z + -2z = 4z 40 + 4z = 72 + 2z + -2z Combine like terms: 2z + -2z = 0 40 + 4z = 72 + 0 40 + 4z = 72 Add '-40' to each side of the equation. 40 + -40 + 4z = 72 + -40 Combine like terms: 40 + -40 = 0 0 + 4z = 72 + -40 4z = 72 + -40 Combine like terms: 72 + -40 = 32 4z = 32 Divide each side by '4'. z = 8 Simplifying z = 8
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