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Simplifying 7 + 15z + -2 = 7z + 109 + -5z Reorder the terms: 7 + -2 + 15z = 7z + 109 + -5z Combine like terms: 7 + -2 = 5 5 + 15z = 7z + 109 + -5z Reorder the terms: 5 + 15z = 109 + 7z + -5z Combine like terms: 7z + -5z = 2z 5 + 15z = 109 + 2z Solving 5 + 15z = 109 + 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. 5 + 15z + -2z = 109 + 2z + -2z Combine like terms: 15z + -2z = 13z 5 + 13z = 109 + 2z + -2z Combine like terms: 2z + -2z = 0 5 + 13z = 109 + 0 5 + 13z = 109 Add '-5' to each side of the equation. 5 + -5 + 13z = 109 + -5 Combine like terms: 5 + -5 = 0 0 + 13z = 109 + -5 13z = 109 + -5 Combine like terms: 109 + -5 = 104 13z = 104 Divide each side by '13'. z = 8 Simplifying z = 8
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