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Simplifying 3z + -4z + -8 = -3z + -8 + -4z Reorder the terms: -8 + 3z + -4z = -3z + -8 + -4z Combine like terms: 3z + -4z = -1z -8 + -1z = -3z + -8 + -4z Reorder the terms: -8 + -1z = -8 + -3z + -4z Combine like terms: -3z + -4z = -7z -8 + -1z = -8 + -7z Add '8' to each side of the equation. -8 + 8 + -1z = -8 + 8 + -7z Combine like terms: -8 + 8 = 0 0 + -1z = -8 + 8 + -7z -1z = -8 + 8 + -7z Combine like terms: -8 + 8 = 0 -1z = 0 + -7z -1z = -7z Solving -1z = -7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7z' to each side of the equation. -1z + 7z = -7z + 7z Combine like terms: -1z + 7z = 6z 6z = -7z + 7z Combine like terms: -7z + 7z = 0 6z = 0 Divide each side by '6'. z = 0 Simplifying z = 0
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