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Simplifying 6z + 4 = 7z + -9 Reorder the terms: 4 + 6z = 7z + -9 Reorder the terms: 4 + 6z = -9 + 7z Solving 4 + 6z = -9 + 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. 4 + 6z + -7z = -9 + 7z + -7z Combine like terms: 6z + -7z = -1z 4 + -1z = -9 + 7z + -7z Combine like terms: 7z + -7z = 0 4 + -1z = -9 + 0 4 + -1z = -9 Add '-4' to each side of the equation. 4 + -4 + -1z = -9 + -4 Combine like terms: 4 + -4 = 0 0 + -1z = -9 + -4 -1z = -9 + -4 Combine like terms: -9 + -4 = -13 -1z = -13 Divide each side by '-1'. z = 13 Simplifying z = 13
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