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Simplifying -7z + -35 = 8z Reorder the terms: -35 + -7z = 8z Solving -35 + -7z = 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -35 + -7z + -8z = 8z + -8z Combine like terms: -7z + -8z = -15z -35 + -15z = 8z + -8z Combine like terms: 8z + -8z = 0 -35 + -15z = 0 Add '35' to each side of the equation. -35 + 35 + -15z = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -15z = 0 + 35 -15z = 0 + 35 Combine like terms: 0 + 35 = 35 -15z = 35 Divide each side by '-15'. z = -2.333333333 Simplifying z = -2.333333333
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