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Simplifying 53 = 19z + 5 + 7z Reorder the terms: 53 = 5 + 19z + 7z Combine like terms: 19z + 7z = 26z 53 = 5 + 26z Solving 53 = 5 + 26z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-26z' to each side of the equation. 53 + -26z = 5 + 26z + -26z Combine like terms: 26z + -26z = 0 53 + -26z = 5 + 0 53 + -26z = 5 Add '-53' to each side of the equation. 53 + -53 + -26z = 5 + -53 Combine like terms: 53 + -53 = 0 0 + -26z = 5 + -53 -26z = 5 + -53 Combine like terms: 5 + -53 = -48 -26z = -48 Divide each side by '-26'. z = 1.846153846 Simplifying z = 1.846153846
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