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