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Simplifying 7 + 19z + -2 = 8z + 21 + -5z Reorder the terms: 7 + -2 + 19z = 8z + 21 + -5z Combine like terms: 7 + -2 = 5 5 + 19z = 8z + 21 + -5z Reorder the terms: 5 + 19z = 21 + 8z + -5z Combine like terms: 8z + -5z = 3z 5 + 19z = 21 + 3z Solving 5 + 19z = 21 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 5 + 19z + -3z = 21 + 3z + -3z Combine like terms: 19z + -3z = 16z 5 + 16z = 21 + 3z + -3z Combine like terms: 3z + -3z = 0 5 + 16z = 21 + 0 5 + 16z = 21 Add '-5' to each side of the equation. 5 + -5 + 16z = 21 + -5 Combine like terms: 5 + -5 = 0 0 + 16z = 21 + -5 16z = 21 + -5 Combine like terms: 21 + -5 = 16 16z = 16 Divide each side by '16'. z = 1 Simplifying z = 1
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