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Simplifying 7 + 10z + -6 = 8z + 19 + -4z Reorder the terms: 7 + -6 + 10z = 8z + 19 + -4z Combine like terms: 7 + -6 = 1 1 + 10z = 8z + 19 + -4z Reorder the terms: 1 + 10z = 19 + 8z + -4z Combine like terms: 8z + -4z = 4z 1 + 10z = 19 + 4z Solving 1 + 10z = 19 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 1 + 10z + -4z = 19 + 4z + -4z Combine like terms: 10z + -4z = 6z 1 + 6z = 19 + 4z + -4z Combine like terms: 4z + -4z = 0 1 + 6z = 19 + 0 1 + 6z = 19 Add '-1' to each side of the equation. 1 + -1 + 6z = 19 + -1 Combine like terms: 1 + -1 = 0 0 + 6z = 19 + -1 6z = 19 + -1 Combine like terms: 19 + -1 = 18 6z = 18 Divide each side by '6'. z = 3 Simplifying z = 3
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