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Simplifying 7 + 20z = 5z + -19 + 17z Reorder the terms: 7 + 20z = -19 + 5z + 17z Combine like terms: 5z + 17z = 22z 7 + 20z = -19 + 22z Solving 7 + 20z = -19 + 22z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-22z' to each side of the equation. 7 + 20z + -22z = -19 + 22z + -22z Combine like terms: 20z + -22z = -2z 7 + -2z = -19 + 22z + -22z Combine like terms: 22z + -22z = 0 7 + -2z = -19 + 0 7 + -2z = -19 Add '-7' to each side of the equation. 7 + -7 + -2z = -19 + -7 Combine like terms: 7 + -7 = 0 0 + -2z = -19 + -7 -2z = -19 + -7 Combine like terms: -19 + -7 = -26 -2z = -26 Divide each side by '-2'. z = 13 Simplifying z = 13
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