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Simplifying -5z + -3 + -9 = 8 + -1z Reorder the terms: -3 + -9 + -5z = 8 + -1z Combine like terms: -3 + -9 = -12 -12 + -5z = 8 + -1z Solving -12 + -5z = 8 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -12 + -5z + z = 8 + -1z + z Combine like terms: -5z + z = -4z -12 + -4z = 8 + -1z + z Combine like terms: -1z + z = 0 -12 + -4z = 8 + 0 -12 + -4z = 8 Add '12' to each side of the equation. -12 + 12 + -4z = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -4z = 8 + 12 -4z = 8 + 12 Combine like terms: 8 + 12 = 20 -4z = 20 Divide each side by '-4'. z = -5 Simplifying z = -5
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