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Simplifying 7 + 18z + -4 = 7z + 48 + -4z Reorder the terms: 7 + -4 + 18z = 7z + 48 + -4z Combine like terms: 7 + -4 = 3 3 + 18z = 7z + 48 + -4z Reorder the terms: 3 + 18z = 48 + 7z + -4z Combine like terms: 7z + -4z = 3z 3 + 18z = 48 + 3z Solving 3 + 18z = 48 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 3 + 18z + -3z = 48 + 3z + -3z Combine like terms: 18z + -3z = 15z 3 + 15z = 48 + 3z + -3z Combine like terms: 3z + -3z = 0 3 + 15z = 48 + 0 3 + 15z = 48 Add '-3' to each side of the equation. 3 + -3 + 15z = 48 + -3 Combine like terms: 3 + -3 = 0 0 + 15z = 48 + -3 15z = 48 + -3 Combine like terms: 48 + -3 = 45 15z = 45 Divide each side by '15'. z = 3 Simplifying z = 3
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