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Simplifying -17 + -6z = -9(7z + 8) Reorder the terms: -17 + -6z = -9(8 + 7z) -17 + -6z = (8 * -9 + 7z * -9) -17 + -6z = (-72 + -63z) Solving -17 + -6z = -72 + -63z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '63z' to each side of the equation. -17 + -6z + 63z = -72 + -63z + 63z Combine like terms: -6z + 63z = 57z -17 + 57z = -72 + -63z + 63z Combine like terms: -63z + 63z = 0 -17 + 57z = -72 + 0 -17 + 57z = -72 Add '17' to each side of the equation. -17 + 17 + 57z = -72 + 17 Combine like terms: -17 + 17 = 0 0 + 57z = -72 + 17 57z = -72 + 17 Combine like terms: -72 + 17 = -55 57z = -55 Divide each side by '57'. z = -0.9649122807 Simplifying z = -0.9649122807
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