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Simplifying -6 + 13 = 7z Combine like terms: -6 + 13 = 7 7 = 7z Solving 7 = 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. 7 + -7z = 7z + -7z Combine like terms: 7z + -7z = 0 7 + -7z = 0 Add '-7' to each side of the equation. 7 + -7 + -7z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -7z = 0 + -7 -7z = 0 + -7 Combine like terms: 0 + -7 = -7 -7z = -7 Divide each side by '-7'. z = 1 Simplifying z = 1
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