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Simplifying -17 + 5z = 8z + 15 + 19 Reorder the terms: -17 + 5z = 15 + 19 + 8z Combine like terms: 15 + 19 = 34 -17 + 5z = 34 + 8z Solving -17 + 5z = 34 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -17 + 5z + -8z = 34 + 8z + -8z Combine like terms: 5z + -8z = -3z -17 + -3z = 34 + 8z + -8z Combine like terms: 8z + -8z = 0 -17 + -3z = 34 + 0 -17 + -3z = 34 Add '17' to each side of the equation. -17 + 17 + -3z = 34 + 17 Combine like terms: -17 + 17 = 0 0 + -3z = 34 + 17 -3z = 34 + 17 Combine like terms: 34 + 17 = 51 -3z = 51 Divide each side by '-3'. z = -17 Simplifying z = -17
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