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Simplifying -8z + -8 + 5z = 4z + 6 Reorder the terms: -8 + -8z + 5z = 4z + 6 Combine like terms: -8z + 5z = -3z -8 + -3z = 4z + 6 Reorder the terms: -8 + -3z = 6 + 4z Solving -8 + -3z = 6 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -8 + -3z + -4z = 6 + 4z + -4z Combine like terms: -3z + -4z = -7z -8 + -7z = 6 + 4z + -4z Combine like terms: 4z + -4z = 0 -8 + -7z = 6 + 0 -8 + -7z = 6 Add '8' to each side of the equation. -8 + 8 + -7z = 6 + 8 Combine like terms: -8 + 8 = 0 0 + -7z = 6 + 8 -7z = 6 + 8 Combine like terms: 6 + 8 = 14 -7z = 14 Divide each side by '-7'. z = -2 Simplifying z = -2
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