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Simplifying -6z + -1 = 15z + -85 Reorder the terms: -1 + -6z = 15z + -85 Reorder the terms: -1 + -6z = -85 + 15z Solving -1 + -6z = -85 + 15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-15z' to each side of the equation. -1 + -6z + -15z = -85 + 15z + -15z Combine like terms: -6z + -15z = -21z -1 + -21z = -85 + 15z + -15z Combine like terms: 15z + -15z = 0 -1 + -21z = -85 + 0 -1 + -21z = -85 Add '1' to each side of the equation. -1 + 1 + -21z = -85 + 1 Combine like terms: -1 + 1 = 0 0 + -21z = -85 + 1 -21z = -85 + 1 Combine like terms: -85 + 1 = -84 -21z = -84 Divide each side by '-21'. z = 4 Simplifying z = 4
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