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Simplifying -8z + -2 = -3z + -12z Reorder the terms: -2 + -8z = -3z + -12z Combine like terms: -3z + -12z = -15z -2 + -8z = -15z Solving -2 + -8z = -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. -2 + -8z + 15z = -15z + 15z Combine like terms: -8z + 15z = 7z -2 + 7z = -15z + 15z Combine like terms: -15z + 15z = 0 -2 + 7z = 0 Add '2' to each side of the equation. -2 + 2 + 7z = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 7z = 0 + 2 7z = 0 + 2 Combine like terms: 0 + 2 = 2 7z = 2 Divide each side by '7'. z = 0.2857142857 Simplifying z = 0.2857142857
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