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Simplifying 3 + 16z + -1 = 9z + 101 + -4z Reorder the terms: 3 + -1 + 16z = 9z + 101 + -4z Combine like terms: 3 + -1 = 2 2 + 16z = 9z + 101 + -4z Reorder the terms: 2 + 16z = 101 + 9z + -4z Combine like terms: 9z + -4z = 5z 2 + 16z = 101 + 5z Solving 2 + 16z = 101 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 2 + 16z + -5z = 101 + 5z + -5z Combine like terms: 16z + -5z = 11z 2 + 11z = 101 + 5z + -5z Combine like terms: 5z + -5z = 0 2 + 11z = 101 + 0 2 + 11z = 101 Add '-2' to each side of the equation. 2 + -2 + 11z = 101 + -2 Combine like terms: 2 + -2 = 0 0 + 11z = 101 + -2 11z = 101 + -2 Combine like terms: 101 + -2 = 99 11z = 99 Divide each side by '11'. z = 9 Simplifying z = 9
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