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Simplifying -1(3z + 8) + -9 = 17 + 3z Reorder the terms: -1(8 + 3z) + -9 = 17 + 3z (8 * -1 + 3z * -1) + -9 = 17 + 3z (-8 + -3z) + -9 = 17 + 3z Reorder the terms: -8 + -9 + -3z = 17 + 3z Combine like terms: -8 + -9 = -17 -17 + -3z = 17 + 3z Solving -17 + -3z = 17 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -17 + -3z + -3z = 17 + 3z + -3z Combine like terms: -3z + -3z = -6z -17 + -6z = 17 + 3z + -3z Combine like terms: 3z + -3z = 0 -17 + -6z = 17 + 0 -17 + -6z = 17 Add '17' to each side of the equation. -17 + 17 + -6z = 17 + 17 Combine like terms: -17 + 17 = 0 0 + -6z = 17 + 17 -6z = 17 + 17 Combine like terms: 17 + 17 = 34 -6z = 34 Divide each side by '-6'. z = -5.666666667 Simplifying z = -5.666666667
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