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Simplifying 4(z + 8) = 4 + 5z Reorder the terms: 4(8 + z) = 4 + 5z (8 * 4 + z * 4) = 4 + 5z (32 + 4z) = 4 + 5z Solving 32 + 4z = 4 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 32 + 4z + -5z = 4 + 5z + -5z Combine like terms: 4z + -5z = -1z 32 + -1z = 4 + 5z + -5z Combine like terms: 5z + -5z = 0 32 + -1z = 4 + 0 32 + -1z = 4 Add '-32' to each side of the equation. 32 + -32 + -1z = 4 + -32 Combine like terms: 32 + -32 = 0 0 + -1z = 4 + -32 -1z = 4 + -32 Combine like terms: 4 + -32 = -28 -1z = -28 Divide each side by '-1'. z = 28 Simplifying z = 28
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