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Simplifying 6z + 7 = 2z + 35 Reorder the terms: 7 + 6z = 2z + 35 Reorder the terms: 7 + 6z = 35 + 2z Solving 7 + 6z = 35 + 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. 7 + 6z + -2z = 35 + 2z + -2z Combine like terms: 6z + -2z = 4z 7 + 4z = 35 + 2z + -2z Combine like terms: 2z + -2z = 0 7 + 4z = 35 + 0 7 + 4z = 35 Add '-7' to each side of the equation. 7 + -7 + 4z = 35 + -7 Combine like terms: 7 + -7 = 0 0 + 4z = 35 + -7 4z = 35 + -7 Combine like terms: 35 + -7 = 28 4z = 28 Divide each side by '4'. z = 7 Simplifying z = 7
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