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Simplifying -20 + 8z = 20 + 20 + 12z Combine like terms: 20 + 20 = 40 -20 + 8z = 40 + 12z Solving -20 + 8z = 40 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. -20 + 8z + -12z = 40 + 12z + -12z Combine like terms: 8z + -12z = -4z -20 + -4z = 40 + 12z + -12z Combine like terms: 12z + -12z = 0 -20 + -4z = 40 + 0 -20 + -4z = 40 Add '20' to each side of the equation. -20 + 20 + -4z = 40 + 20 Combine like terms: -20 + 20 = 0 0 + -4z = 40 + 20 -4z = 40 + 20 Combine like terms: 40 + 20 = 60 -4z = 60 Divide each side by '-4'. z = -15 Simplifying z = -15
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