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Simplifying -4(z + -9) = 3z + -5 Reorder the terms: -4(-9 + z) = 3z + -5 (-9 * -4 + z * -4) = 3z + -5 (36 + -4z) = 3z + -5 Reorder the terms: 36 + -4z = -5 + 3z Solving 36 + -4z = -5 + 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. 36 + -4z + -3z = -5 + 3z + -3z Combine like terms: -4z + -3z = -7z 36 + -7z = -5 + 3z + -3z Combine like terms: 3z + -3z = 0 36 + -7z = -5 + 0 36 + -7z = -5 Add '-36' to each side of the equation. 36 + -36 + -7z = -5 + -36 Combine like terms: 36 + -36 = 0 0 + -7z = -5 + -36 -7z = -5 + -36 Combine like terms: -5 + -36 = -41 -7z = -41 Divide each side by '-7'. z = 5.857142857 Simplifying z = 5.857142857
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