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Simplifying 3z + -1 = 8z + -11 Reorder the terms: -1 + 3z = 8z + -11 Reorder the terms: -1 + 3z = -11 + 8z Solving -1 + 3z = -11 + 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. -1 + 3z + -8z = -11 + 8z + -8z Combine like terms: 3z + -8z = -5z -1 + -5z = -11 + 8z + -8z Combine like terms: 8z + -8z = 0 -1 + -5z = -11 + 0 -1 + -5z = -11 Add '1' to each side of the equation. -1 + 1 + -5z = -11 + 1 Combine like terms: -1 + 1 = 0 0 + -5z = -11 + 1 -5z = -11 + 1 Combine like terms: -11 + 1 = -10 -5z = -10 Divide each side by '-5'. z = 2 Simplifying z = 2
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