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Simplifying -8z + -1 = -3z + -1 Reorder the terms: -1 + -8z = -3z + -1 Reorder the terms: -1 + -8z = -1 + -3z Add '1' to each side of the equation. -1 + 1 + -8z = -1 + 1 + -3z Combine like terms: -1 + 1 = 0 0 + -8z = -1 + 1 + -3z -8z = -1 + 1 + -3z Combine like terms: -1 + 1 = 0 -8z = 0 + -3z -8z = -3z Solving -8z = -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. -8z + 3z = -3z + 3z Combine like terms: -8z + 3z = -5z -5z = -3z + 3z Combine like terms: -3z + 3z = 0 -5z = 0 Divide each side by '-5'. z = 0 Simplifying z = 0
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