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