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Simplifying -10z + 17 = 21 + -6z Reorder the terms: 17 + -10z = 21 + -6z Solving 17 + -10z = 21 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. 17 + -10z + 6z = 21 + -6z + 6z Combine like terms: -10z + 6z = -4z 17 + -4z = 21 + -6z + 6z Combine like terms: -6z + 6z = 0 17 + -4z = 21 + 0 17 + -4z = 21 Add '-17' to each side of the equation. 17 + -17 + -4z = 21 + -17 Combine like terms: 17 + -17 = 0 0 + -4z = 21 + -17 -4z = 21 + -17 Combine like terms: 21 + -17 = 4 -4z = 4 Divide each side by '-4'. z = -1 Simplifying z = -1
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