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Simplifying 3z + 9 + -2 = 7z + 4 + -6 Reorder the terms: 9 + -2 + 3z = 7z + 4 + -6 Combine like terms: 9 + -2 = 7 7 + 3z = 7z + 4 + -6 Reorder the terms: 7 + 3z = 4 + -6 + 7z Combine like terms: 4 + -6 = -2 7 + 3z = -2 + 7z Solving 7 + 3z = -2 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 7 + 3z + -7z = -2 + 7z + -7z Combine like terms: 3z + -7z = -4z 7 + -4z = -2 + 7z + -7z Combine like terms: 7z + -7z = 0 7 + -4z = -2 + 0 7 + -4z = -2 Add '-7' to each side of the equation. 7 + -7 + -4z = -2 + -7 Combine like terms: 7 + -7 = 0 0 + -4z = -2 + -7 -4z = -2 + -7 Combine like terms: -2 + -7 = -9 -4z = -9 Divide each side by '-4'. z = 2.25 Simplifying z = 2.25
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