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Simplifying 9 + 16z + -3 = 9z + 118 + -7z Reorder the terms: 9 + -3 + 16z = 9z + 118 + -7z Combine like terms: 9 + -3 = 6 6 + 16z = 9z + 118 + -7z Reorder the terms: 6 + 16z = 118 + 9z + -7z Combine like terms: 9z + -7z = 2z 6 + 16z = 118 + 2z Solving 6 + 16z = 118 + 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. 6 + 16z + -2z = 118 + 2z + -2z Combine like terms: 16z + -2z = 14z 6 + 14z = 118 + 2z + -2z Combine like terms: 2z + -2z = 0 6 + 14z = 118 + 0 6 + 14z = 118 Add '-6' to each side of the equation. 6 + -6 + 14z = 118 + -6 Combine like terms: 6 + -6 = 0 0 + 14z = 118 + -6 14z = 118 + -6 Combine like terms: 118 + -6 = 112 14z = 112 Divide each side by '14'. z = 8 Simplifying z = 8
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