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Simplifying 19z + 3 = 20z + 12 + -9 Reorder the terms: 3 + 19z = 20z + 12 + -9 Reorder the terms: 3 + 19z = 12 + -9 + 20z Combine like terms: 12 + -9 = 3 3 + 19z = 3 + 20z Add '-3' to each side of the equation. 3 + -3 + 19z = 3 + -3 + 20z Combine like terms: 3 + -3 = 0 0 + 19z = 3 + -3 + 20z 19z = 3 + -3 + 20z Combine like terms: 3 + -3 = 0 19z = 0 + 20z 19z = 20z Solving 19z = 20z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-20z' to each side of the equation. 19z + -20z = 20z + -20z Combine like terms: 19z + -20z = -1z -1z = 20z + -20z Combine like terms: 20z + -20z = 0 -1z = 0 Divide each side by '-1'. z = 0 Simplifying z = 0
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