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Simplifying 5 + 19z + -4 = 7z + 120 + -5z Reorder the terms: 5 + -4 + 19z = 7z + 120 + -5z Combine like terms: 5 + -4 = 1 1 + 19z = 7z + 120 + -5z Reorder the terms: 1 + 19z = 120 + 7z + -5z Combine like terms: 7z + -5z = 2z 1 + 19z = 120 + 2z Solving 1 + 19z = 120 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 1 + 19z + -2z = 120 + 2z + -2z Combine like terms: 19z + -2z = 17z 1 + 17z = 120 + 2z + -2z Combine like terms: 2z + -2z = 0 1 + 17z = 120 + 0 1 + 17z = 120 Add '-1' to each side of the equation. 1 + -1 + 17z = 120 + -1 Combine like terms: 1 + -1 = 0 0 + 17z = 120 + -1 17z = 120 + -1 Combine like terms: 120 + -1 = 119 17z = 119 Divide each side by '17'. z = 7 Simplifying z = 7
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