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Simplifying -4z + -11 + 7z = 8z + 14 Reorder the terms: -11 + -4z + 7z = 8z + 14 Combine like terms: -4z + 7z = 3z -11 + 3z = 8z + 14 Reorder the terms: -11 + 3z = 14 + 8z Solving -11 + 3z = 14 + 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. -11 + 3z + -8z = 14 + 8z + -8z Combine like terms: 3z + -8z = -5z -11 + -5z = 14 + 8z + -8z Combine like terms: 8z + -8z = 0 -11 + -5z = 14 + 0 -11 + -5z = 14 Add '11' to each side of the equation. -11 + 11 + -5z = 14 + 11 Combine like terms: -11 + 11 = 0 0 + -5z = 14 + 11 -5z = 14 + 11 Combine like terms: 14 + 11 = 25 -5z = 25 Divide each side by '-5'. z = -5 Simplifying z = -5
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