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Simplifying 5z + 8 = 2z + 35 Reorder the terms: 8 + 5z = 2z + 35 Reorder the terms: 8 + 5z = 35 + 2z Solving 8 + 5z = 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. 8 + 5z + -2z = 35 + 2z + -2z Combine like terms: 5z + -2z = 3z 8 + 3z = 35 + 2z + -2z Combine like terms: 2z + -2z = 0 8 + 3z = 35 + 0 8 + 3z = 35 Add '-8' to each side of the equation. 8 + -8 + 3z = 35 + -8 Combine like terms: 8 + -8 = 0 0 + 3z = 35 + -8 3z = 35 + -8 Combine like terms: 35 + -8 = 27 3z = 27 Divide each side by '3'. z = 9 Simplifying z = 9
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