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Simplifying 17 = -4(5z + 9) Reorder the terms: 17 = -4(9 + 5z) 17 = (9 * -4 + 5z * -4) 17 = (-36 + -20z) Solving 17 = -36 + -20z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '20z' to each side of the equation. 17 + 20z = -36 + -20z + 20z Combine like terms: -20z + 20z = 0 17 + 20z = -36 + 0 17 + 20z = -36 Add '-17' to each side of the equation. 17 + -17 + 20z = -36 + -17 Combine like terms: 17 + -17 = 0 0 + 20z = -36 + -17 20z = -36 + -17 Combine like terms: -36 + -17 = -53 20z = -53 Divide each side by '20'. z = -2.65 Simplifying z = -2.65
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