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Simplifying 17 + -1(4 + -6z) + 4 = 4z 17 + (4 * -1 + -6z * -1) + 4 = 4z 17 + (-4 + 6z) + 4 = 4z Reorder the terms: 17 + -4 + 4 + 6z = 4z Combine like terms: 17 + -4 = 13 13 + 4 + 6z = 4z Combine like terms: 13 + 4 = 17 17 + 6z = 4z Solving 17 + 6z = 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 17 + 6z + -4z = 4z + -4z Combine like terms: 6z + -4z = 2z 17 + 2z = 4z + -4z Combine like terms: 4z + -4z = 0 17 + 2z = 0 Add '-17' to each side of the equation. 17 + -17 + 2z = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 2z = 0 + -17 2z = 0 + -17 Combine like terms: 0 + -17 = -17 2z = -17 Divide each side by '2'. z = -8.5 Simplifying z = -8.5
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