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Simplifying 8 = 8z + -4(z + 8) Reorder the terms: 8 = 8z + -4(8 + z) 8 = 8z + (8 * -4 + z * -4) 8 = 8z + (-32 + -4z) Reorder the terms: 8 = -32 + 8z + -4z Combine like terms: 8z + -4z = 4z 8 = -32 + 4z Solving 8 = -32 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 8 + -4z = -32 + 4z + -4z Combine like terms: 4z + -4z = 0 8 + -4z = -32 + 0 8 + -4z = -32 Add '-8' to each side of the equation. 8 + -8 + -4z = -32 + -8 Combine like terms: 8 + -8 = 0 0 + -4z = -32 + -8 -4z = -32 + -8 Combine like terms: -32 + -8 = -40 -4z = -40 Divide each side by '-4'. z = 10 Simplifying z = 10
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