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Simplifying 3z + 5 = 19 + -4z Reorder the terms: 5 + 3z = 19 + -4z Solving 5 + 3z = 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. 5 + 3z + 4z = 19 + -4z + 4z Combine like terms: 3z + 4z = 7z 5 + 7z = 19 + -4z + 4z Combine like terms: -4z + 4z = 0 5 + 7z = 19 + 0 5 + 7z = 19 Add '-5' to each side of the equation. 5 + -5 + 7z = 19 + -5 Combine like terms: 5 + -5 = 0 0 + 7z = 19 + -5 7z = 19 + -5 Combine like terms: 19 + -5 = 14 7z = 14 Divide each side by '7'. z = 2 Simplifying z = 2
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