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Simplifying z + 40 + z + 35 = 6z + 6 Reorder the terms: 40 + 35 + z + z = 6z + 6 Combine like terms: 40 + 35 = 75 75 + z + z = 6z + 6 Combine like terms: z + z = 2z 75 + 2z = 6z + 6 Reorder the terms: 75 + 2z = 6 + 6z Solving 75 + 2z = 6 + 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. 75 + 2z + -6z = 6 + 6z + -6z Combine like terms: 2z + -6z = -4z 75 + -4z = 6 + 6z + -6z Combine like terms: 6z + -6z = 0 75 + -4z = 6 + 0 75 + -4z = 6 Add '-75' to each side of the equation. 75 + -75 + -4z = 6 + -75 Combine like terms: 75 + -75 = 0 0 + -4z = 6 + -75 -4z = 6 + -75 Combine like terms: 6 + -75 = -69 -4z = -69 Divide each side by '-4'. z = 17.25 Simplifying z = 17.25
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