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Simplifying 7z + -84 = 4z + -33 Reorder the terms: -84 + 7z = 4z + -33 Reorder the terms: -84 + 7z = -33 + 4z Solving -84 + 7z = -33 + 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. -84 + 7z + -4z = -33 + 4z + -4z Combine like terms: 7z + -4z = 3z -84 + 3z = -33 + 4z + -4z Combine like terms: 4z + -4z = 0 -84 + 3z = -33 + 0 -84 + 3z = -33 Add '84' to each side of the equation. -84 + 84 + 3z = -33 + 84 Combine like terms: -84 + 84 = 0 0 + 3z = -33 + 84 3z = -33 + 84 Combine like terms: -33 + 84 = 51 3z = 51 Divide each side by '3'. z = 17 Simplifying z = 17
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