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Simplifying -6z + -7z = -4z + 1 + -8z Combine like terms: -6z + -7z = -13z -13z = -4z + 1 + -8z Reorder the terms: -13z = 1 + -4z + -8z Combine like terms: -4z + -8z = -12z -13z = 1 + -12z Solving -13z = 1 + -12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12z' to each side of the equation. -13z + 12z = 1 + -12z + 12z Combine like terms: -13z + 12z = -1z -1z = 1 + -12z + 12z Combine like terms: -12z + 12z = 0 -1z = 1 + 0 -1z = 1 Divide each side by '-1'. z = -1 Simplifying z = -1
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