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Simplifying -5(-4z + 2) = 17 + 17z Reorder the terms: -5(2 + -4z) = 17 + 17z (2 * -5 + -4z * -5) = 17 + 17z (-10 + 20z) = 17 + 17z Solving -10 + 20z = 17 + 17z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-17z' to each side of the equation. -10 + 20z + -17z = 17 + 17z + -17z Combine like terms: 20z + -17z = 3z -10 + 3z = 17 + 17z + -17z Combine like terms: 17z + -17z = 0 -10 + 3z = 17 + 0 -10 + 3z = 17 Add '10' to each side of the equation. -10 + 10 + 3z = 17 + 10 Combine like terms: -10 + 10 = 0 0 + 3z = 17 + 10 3z = 17 + 10 Combine like terms: 17 + 10 = 27 3z = 27 Divide each side by '3'. z = 9 Simplifying z = 9
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