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Simplifying -4(9z + 2) = -25 + -7z Reorder the terms: -4(2 + 9z) = -25 + -7z (2 * -4 + 9z * -4) = -25 + -7z (-8 + -36z) = -25 + -7z Solving -8 + -36z = -25 + -7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7z' to each side of the equation. -8 + -36z + 7z = -25 + -7z + 7z Combine like terms: -36z + 7z = -29z -8 + -29z = -25 + -7z + 7z Combine like terms: -7z + 7z = 0 -8 + -29z = -25 + 0 -8 + -29z = -25 Add '8' to each side of the equation. -8 + 8 + -29z = -25 + 8 Combine like terms: -8 + 8 = 0 0 + -29z = -25 + 8 -29z = -25 + 8 Combine like terms: -25 + 8 = -17 -29z = -17 Divide each side by '-29'. z = 0.5862068966 Simplifying z = 0.5862068966
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