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Simplifying 4z + 19 = -6z + 9 Reorder the terms: 19 + 4z = -6z + 9 Reorder the terms: 19 + 4z = 9 + -6z Solving 19 + 4z = 9 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. 19 + 4z + 6z = 9 + -6z + 6z Combine like terms: 4z + 6z = 10z 19 + 10z = 9 + -6z + 6z Combine like terms: -6z + 6z = 0 19 + 10z = 9 + 0 19 + 10z = 9 Add '-19' to each side of the equation. 19 + -19 + 10z = 9 + -19 Combine like terms: 19 + -19 = 0 0 + 10z = 9 + -19 10z = 9 + -19 Combine like terms: 9 + -19 = -10 10z = -10 Divide each side by '10'. z = -1 Simplifying z = -1
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