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Simplifying 7z + 1 + -1z = 2z + -7 Reorder the terms: 1 + 7z + -1z = 2z + -7 Combine like terms: 7z + -1z = 6z 1 + 6z = 2z + -7 Reorder the terms: 1 + 6z = -7 + 2z Solving 1 + 6z = -7 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 1 + 6z + -2z = -7 + 2z + -2z Combine like terms: 6z + -2z = 4z 1 + 4z = -7 + 2z + -2z Combine like terms: 2z + -2z = 0 1 + 4z = -7 + 0 1 + 4z = -7 Add '-1' to each side of the equation. 1 + -1 + 4z = -7 + -1 Combine like terms: 1 + -1 = 0 0 + 4z = -7 + -1 4z = -7 + -1 Combine like terms: -7 + -1 = -8 4z = -8 Divide each side by '4'. z = -2 Simplifying z = -2
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