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