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Simplifying 4(-6z + 8) = -40 Reorder the terms: 4(8 + -6z) = -40 (8 * 4 + -6z * 4) = -40 (32 + -24z) = -40 Solving 32 + -24z = -40 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -24z = -40 + -32 Combine like terms: 32 + -32 = 0 0 + -24z = -40 + -32 -24z = -40 + -32 Combine like terms: -40 + -32 = -72 -24z = -72 Divide each side by '-24'. z = 3 Simplifying z = 3
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