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Simplifying 18 + 19z + -20 = -20 + 17z Reorder the terms: 18 + -20 + 19z = -20 + 17z Combine like terms: 18 + -20 = -2 -2 + 19z = -20 + 17z Solving -2 + 19z = -20 + 17z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-17z' to each side of the equation. -2 + 19z + -17z = -20 + 17z + -17z Combine like terms: 19z + -17z = 2z -2 + 2z = -20 + 17z + -17z Combine like terms: 17z + -17z = 0 -2 + 2z = -20 + 0 -2 + 2z = -20 Add '2' to each side of the equation. -2 + 2 + 2z = -20 + 2 Combine like terms: -2 + 2 = 0 0 + 2z = -20 + 2 2z = -20 + 2 Combine like terms: -20 + 2 = -18 2z = -18 Divide each side by '2'. z = -9 Simplifying z = -9
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