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Simplifying 8z + 19 = 5z + 7 Reorder the terms: 19 + 8z = 5z + 7 Reorder the terms: 19 + 8z = 7 + 5z Solving 19 + 8z = 7 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 19 + 8z + -5z = 7 + 5z + -5z Combine like terms: 8z + -5z = 3z 19 + 3z = 7 + 5z + -5z Combine like terms: 5z + -5z = 0 19 + 3z = 7 + 0 19 + 3z = 7 Add '-19' to each side of the equation. 19 + -19 + 3z = 7 + -19 Combine like terms: 19 + -19 = 0 0 + 3z = 7 + -19 3z = 7 + -19 Combine like terms: 7 + -19 = -12 3z = -12 Divide each side by '3'. z = -4 Simplifying z = -4
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