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Simplifying z + -6 + -6z = 6 + -7z + -2 Reorder the terms: -6 + z + -6z = 6 + -7z + -2 Combine like terms: z + -6z = -5z -6 + -5z = 6 + -7z + -2 Reorder the terms: -6 + -5z = 6 + -2 + -7z Combine like terms: 6 + -2 = 4 -6 + -5z = 4 + -7z Solving -6 + -5z = 4 + -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 + -5z + 7z = 4 + -7z + 7z Combine like terms: -5z + 7z = 2z -6 + 2z = 4 + -7z + 7z Combine like terms: -7z + 7z = 0 -6 + 2z = 4 + 0 -6 + 2z = 4 Add '6' to each side of the equation. -6 + 6 + 2z = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 2z = 4 + 6 2z = 4 + 6 Combine like terms: 4 + 6 = 10 2z = 10 Divide each side by '2'. z = 5 Simplifying z = 5
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