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Simplifying 7 + -5z = 17 + 5z Solving 7 + -5z = 17 + 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. 7 + -5z + -5z = 17 + 5z + -5z Combine like terms: -5z + -5z = -10z 7 + -10z = 17 + 5z + -5z Combine like terms: 5z + -5z = 0 7 + -10z = 17 + 0 7 + -10z = 17 Add '-7' to each side of the equation. 7 + -7 + -10z = 17 + -7 Combine like terms: 7 + -7 = 0 0 + -10z = 17 + -7 -10z = 17 + -7 Combine like terms: 17 + -7 = 10 -10z = 10 Divide each side by '-10'. z = -1 Simplifying z = -1
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