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Simplifying 53 = -19z + 5 + 7z Reorder the terms: 53 = 5 + -19z + 7z Combine like terms: -19z + 7z = -12z 53 = 5 + -12z Solving 53 = 5 + -12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12z' to each side of the equation. 53 + 12z = 5 + -12z + 12z Combine like terms: -12z + 12z = 0 53 + 12z = 5 + 0 53 + 12z = 5 Add '-53' to each side of the equation. 53 + -53 + 12z = 5 + -53 Combine like terms: 53 + -53 = 0 0 + 12z = 5 + -53 12z = 5 + -53 Combine like terms: 5 + -53 = -48 12z = -48 Divide each side by '12'. z = -4 Simplifying z = -4
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