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Simplifying 4 + 18z + -1 = 4z + 19 + -2z Reorder the terms: 4 + -1 + 18z = 4z + 19 + -2z Combine like terms: 4 + -1 = 3 3 + 18z = 4z + 19 + -2z Reorder the terms: 3 + 18z = 19 + 4z + -2z Combine like terms: 4z + -2z = 2z 3 + 18z = 19 + 2z Solving 3 + 18z = 19 + 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. 3 + 18z + -2z = 19 + 2z + -2z Combine like terms: 18z + -2z = 16z 3 + 16z = 19 + 2z + -2z Combine like terms: 2z + -2z = 0 3 + 16z = 19 + 0 3 + 16z = 19 Add '-3' to each side of the equation. 3 + -3 + 16z = 19 + -3 Combine like terms: 3 + -3 = 0 0 + 16z = 19 + -3 16z = 19 + -3 Combine like terms: 19 + -3 = 16 16z = 16 Divide each side by '16'. z = 1 Simplifying z = 1
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