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