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Simplifying 16z + 35 = 78 + 15z Reorder the terms: 35 + 16z = 78 + 15z Solving 35 + 16z = 78 + 15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-15z' to each side of the equation. 35 + 16z + -15z = 78 + 15z + -15z Combine like terms: 16z + -15z = 1z 35 + 1z = 78 + 15z + -15z Combine like terms: 15z + -15z = 0 35 + 1z = 78 + 0 35 + 1z = 78 Add '-35' to each side of the equation. 35 + -35 + 1z = 78 + -35 Combine like terms: 35 + -35 = 0 0 + 1z = 78 + -35 1z = 78 + -35 Combine like terms: 78 + -35 = 43 1z = 43 Divide each side by '1'. z = 43 Simplifying z = 43
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