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Simplifying -4z + 3 = -6z + -17 Reorder the terms: 3 + -4z = -6z + -17 Reorder the terms: 3 + -4z = -17 + -6z Solving 3 + -4z = -17 + -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. 3 + -4z + 6z = -17 + -6z + 6z Combine like terms: -4z + 6z = 2z 3 + 2z = -17 + -6z + 6z Combine like terms: -6z + 6z = 0 3 + 2z = -17 + 0 3 + 2z = -17 Add '-3' to each side of the equation. 3 + -3 + 2z = -17 + -3 Combine like terms: 3 + -3 = 0 0 + 2z = -17 + -3 2z = -17 + -3 Combine like terms: -17 + -3 = -20 2z = -20 Divide each side by '2'. z = -10 Simplifying z = -10
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