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Simplifying 5 + 18z + -1 = 7z + 102 + -3z Reorder the terms: 5 + -1 + 18z = 7z + 102 + -3z Combine like terms: 5 + -1 = 4 4 + 18z = 7z + 102 + -3z Reorder the terms: 4 + 18z = 102 + 7z + -3z Combine like terms: 7z + -3z = 4z 4 + 18z = 102 + 4z Solving 4 + 18z = 102 + 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. 4 + 18z + -4z = 102 + 4z + -4z Combine like terms: 18z + -4z = 14z 4 + 14z = 102 + 4z + -4z Combine like terms: 4z + -4z = 0 4 + 14z = 102 + 0 4 + 14z = 102 Add '-4' to each side of the equation. 4 + -4 + 14z = 102 + -4 Combine like terms: 4 + -4 = 0 0 + 14z = 102 + -4 14z = 102 + -4 Combine like terms: 102 + -4 = 98 14z = 98 Divide each side by '14'. z = 7 Simplifying z = 7
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