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Simplifying -4(5z + -6) = 33 + 3z Reorder the terms: -4(-6 + 5z) = 33 + 3z (-6 * -4 + 5z * -4) = 33 + 3z (24 + -20z) = 33 + 3z Solving 24 + -20z = 33 + 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. 24 + -20z + -3z = 33 + 3z + -3z Combine like terms: -20z + -3z = -23z 24 + -23z = 33 + 3z + -3z Combine like terms: 3z + -3z = 0 24 + -23z = 33 + 0 24 + -23z = 33 Add '-24' to each side of the equation. 24 + -24 + -23z = 33 + -24 Combine like terms: 24 + -24 = 0 0 + -23z = 33 + -24 -23z = 33 + -24 Combine like terms: 33 + -24 = 9 -23z = 9 Divide each side by '-23'. z = -0.3913043478 Simplifying z = -0.3913043478
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