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Simplifying 12 + -8z = -20 + -4z Solving 12 + -8z = -20 + -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. 12 + -8z + 4z = -20 + -4z + 4z Combine like terms: -8z + 4z = -4z 12 + -4z = -20 + -4z + 4z Combine like terms: -4z + 4z = 0 12 + -4z = -20 + 0 12 + -4z = -20 Add '-12' to each side of the equation. 12 + -12 + -4z = -20 + -12 Combine like terms: 12 + -12 = 0 0 + -4z = -20 + -12 -4z = -20 + -12 Combine like terms: -20 + -12 = -32 -4z = -32 Divide each side by '-4'. z = 8 Simplifying z = 8
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