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Simplifying 2z + 6z + -7z + -1 = 12 Reorder the terms: -1 + 2z + 6z + -7z = 12 Combine like terms: 2z + 6z = 8z -1 + 8z + -7z = 12 Combine like terms: 8z + -7z = 1z -1 + 1z = 12 Solving -1 + 1z = 12 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 1z = 12 + 1 Combine like terms: -1 + 1 = 0 0 + 1z = 12 + 1 1z = 12 + 1 Combine like terms: 12 + 1 = 13 1z = 13 Divide each side by '1'. z = 13 Simplifying z = 13
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