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Simplifying 6 + 18z + -5 = 8z + 105 + -3z Reorder the terms: 6 + -5 + 18z = 8z + 105 + -3z Combine like terms: 6 + -5 = 1 1 + 18z = 8z + 105 + -3z Reorder the terms: 1 + 18z = 105 + 8z + -3z Combine like terms: 8z + -3z = 5z 1 + 18z = 105 + 5z Solving 1 + 18z = 105 + 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. 1 + 18z + -5z = 105 + 5z + -5z Combine like terms: 18z + -5z = 13z 1 + 13z = 105 + 5z + -5z Combine like terms: 5z + -5z = 0 1 + 13z = 105 + 0 1 + 13z = 105 Add '-1' to each side of the equation. 1 + -1 + 13z = 105 + -1 Combine like terms: 1 + -1 = 0 0 + 13z = 105 + -1 13z = 105 + -1 Combine like terms: 105 + -1 = 104 13z = 104 Divide each side by '13'. z = 8 Simplifying z = 8
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