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Simplifying 5 + 19z + -4 = 7z + 29 + -2z Reorder the terms: 5 + -4 + 19z = 7z + 29 + -2z Combine like terms: 5 + -4 = 1 1 + 19z = 7z + 29 + -2z Reorder the terms: 1 + 19z = 29 + 7z + -2z Combine like terms: 7z + -2z = 5z 1 + 19z = 29 + 5z Solving 1 + 19z = 29 + 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. 1 + 19z + -5z = 29 + 5z + -5z Combine like terms: 19z + -5z = 14z 1 + 14z = 29 + 5z + -5z Combine like terms: 5z + -5z = 0 1 + 14z = 29 + 0 1 + 14z = 29 Add '-1' to each side of the equation. 1 + -1 + 14z = 29 + -1 Combine like terms: 1 + -1 = 0 0 + 14z = 29 + -1 14z = 29 + -1 Combine like terms: 29 + -1 = 28 14z = 28 Divide each side by '14'. z = 2 Simplifying z = 2
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