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Simplifying 6z + -6 = 7z + -3 Reorder the terms: -6 + 6z = 7z + -3 Reorder the terms: -6 + 6z = -3 + 7z Solving -6 + 6z = -3 + 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. -6 + 6z + -7z = -3 + 7z + -7z Combine like terms: 6z + -7z = -1z -6 + -1z = -3 + 7z + -7z Combine like terms: 7z + -7z = 0 -6 + -1z = -3 + 0 -6 + -1z = -3 Add '6' to each side of the equation. -6 + 6 + -1z = -3 + 6 Combine like terms: -6 + 6 = 0 0 + -1z = -3 + 6 -1z = -3 + 6 Combine like terms: -3 + 6 = 3 -1z = 3 Divide each side by '-1'. z = -3 Simplifying z = -3
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