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Simplifying 19 = 5 + -2z Solving 19 = 5 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 19 + 2z = 5 + -2z + 2z Combine like terms: -2z + 2z = 0 19 + 2z = 5 + 0 19 + 2z = 5 Add '-19' to each side of the equation. 19 + -19 + 2z = 5 + -19 Combine like terms: 19 + -19 = 0 0 + 2z = 5 + -19 2z = 5 + -19 Combine like terms: 5 + -19 = -14 2z = -14 Divide each side by '2'. z = -7 Simplifying z = -7
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