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Simplifying 6 + 18z + -1 = 6z + 47 + -2z Reorder the terms: 6 + -1 + 18z = 6z + 47 + -2z Combine like terms: 6 + -1 = 5 5 + 18z = 6z + 47 + -2z Reorder the terms: 5 + 18z = 47 + 6z + -2z Combine like terms: 6z + -2z = 4z 5 + 18z = 47 + 4z Solving 5 + 18z = 47 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 5 + 18z + -4z = 47 + 4z + -4z Combine like terms: 18z + -4z = 14z 5 + 14z = 47 + 4z + -4z Combine like terms: 4z + -4z = 0 5 + 14z = 47 + 0 5 + 14z = 47 Add '-5' to each side of the equation. 5 + -5 + 14z = 47 + -5 Combine like terms: 5 + -5 = 0 0 + 14z = 47 + -5 14z = 47 + -5 Combine like terms: 47 + -5 = 42 14z = 42 Divide each side by '14'. z = 3 Simplifying z = 3
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