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Simplifying 5z + -13z + -9z + 11z + -17 = 7 Reorder the terms: -17 + 5z + -13z + -9z + 11z = 7 Combine like terms: 5z + -13z = -8z -17 + -8z + -9z + 11z = 7 Combine like terms: -8z + -9z = -17z -17 + -17z + 11z = 7 Combine like terms: -17z + 11z = -6z -17 + -6z = 7 Solving -17 + -6z = 7 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -6z = 7 + 17 Combine like terms: -17 + 17 = 0 0 + -6z = 7 + 17 -6z = 7 + 17 Combine like terms: 7 + 17 = 24 -6z = 24 Divide each side by '-6'. z = -4 Simplifying z = -4
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