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Simplifying z + -7 = 8z + -5 + -1z Reorder the terms: -7 + z = 8z + -5 + -1z Reorder the terms: -7 + z = -5 + 8z + -1z Combine like terms: 8z + -1z = 7z -7 + z = -5 + 7z Solving -7 + z = -5 + 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 + z + -7z = -5 + 7z + -7z Combine like terms: z + -7z = -6z -7 + -6z = -5 + 7z + -7z Combine like terms: 7z + -7z = 0 -7 + -6z = -5 + 0 -7 + -6z = -5 Add '7' to each side of the equation. -7 + 7 + -6z = -5 + 7 Combine like terms: -7 + 7 = 0 0 + -6z = -5 + 7 -6z = -5 + 7 Combine like terms: -5 + 7 = 2 -6z = 2 Divide each side by '-6'. z = -0.3333333333 Simplifying z = -0.3333333333
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