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Simplifying -4(2 + -5z) = -32 + 14z (2 * -4 + -5z * -4) = -32 + 14z (-8 + 20z) = -32 + 14z Solving -8 + 20z = -32 + 14z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14z' to each side of the equation. -8 + 20z + -14z = -32 + 14z + -14z Combine like terms: 20z + -14z = 6z -8 + 6z = -32 + 14z + -14z Combine like terms: 14z + -14z = 0 -8 + 6z = -32 + 0 -8 + 6z = -32 Add '8' to each side of the equation. -8 + 8 + 6z = -32 + 8 Combine like terms: -8 + 8 = 0 0 + 6z = -32 + 8 6z = -32 + 8 Combine like terms: -32 + 8 = -24 6z = -24 Divide each side by '6'. z = -4 Simplifying z = -4
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