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Simplifying 18(7z + 4) = -9(3z + -36) Reorder the terms: 18(4 + 7z) = -9(3z + -36) (4 * 18 + 7z * 18) = -9(3z + -36) (72 + 126z) = -9(3z + -36) Reorder the terms: 72 + 126z = -9(-36 + 3z) 72 + 126z = (-36 * -9 + 3z * -9) 72 + 126z = (324 + -27z) Solving 72 + 126z = 324 + -27z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '27z' to each side of the equation. 72 + 126z + 27z = 324 + -27z + 27z Combine like terms: 126z + 27z = 153z 72 + 153z = 324 + -27z + 27z Combine like terms: -27z + 27z = 0 72 + 153z = 324 + 0 72 + 153z = 324 Add '-72' to each side of the equation. 72 + -72 + 153z = 324 + -72 Combine like terms: 72 + -72 = 0 0 + 153z = 324 + -72 153z = 324 + -72 Combine like terms: 324 + -72 = 252 153z = 252 Divide each side by '153'. z = 1.647058824 Simplifying z = 1.647058824
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