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Simplifying 18z + -9z + -6z + -1z + -1 = 19 Reorder the terms: -1 + 18z + -9z + -6z + -1z = 19 Combine like terms: 18z + -9z = 9z -1 + 9z + -6z + -1z = 19 Combine like terms: 9z + -6z = 3z -1 + 3z + -1z = 19 Combine like terms: 3z + -1z = 2z -1 + 2z = 19 Solving -1 + 2z = 19 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2z = 19 + 1 Combine like terms: -1 + 1 = 0 0 + 2z = 19 + 1 2z = 19 + 1 Combine like terms: 19 + 1 = 20 2z = 20 Divide each side by '2'. z = 10 Simplifying z = 10
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