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Simplifying -1z + 1 = 7z + -13 Reorder the terms: 1 + -1z = 7z + -13 Reorder the terms: 1 + -1z = -13 + 7z Solving 1 + -1z = -13 + 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. 1 + -1z + -7z = -13 + 7z + -7z Combine like terms: -1z + -7z = -8z 1 + -8z = -13 + 7z + -7z Combine like terms: 7z + -7z = 0 1 + -8z = -13 + 0 1 + -8z = -13 Add '-1' to each side of the equation. 1 + -1 + -8z = -13 + -1 Combine like terms: 1 + -1 = 0 0 + -8z = -13 + -1 -8z = -13 + -1 Combine like terms: -13 + -1 = -14 -8z = -14 Divide each side by '-8'. z = 1.75 Simplifying z = 1.75
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