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Simplifying 8(z + 4) + -3z = 52 Reorder the terms: 8(4 + z) + -3z = 52 (4 * 8 + z * 8) + -3z = 52 (32 + 8z) + -3z = 52 Combine like terms: 8z + -3z = 5z 32 + 5z = 52 Solving 32 + 5z = 52 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 + 5z = 52 + -32 Combine like terms: 32 + -32 = 0 0 + 5z = 52 + -32 5z = 52 + -32 Combine like terms: 52 + -32 = 20 5z = 20 Divide each side by '5'. z = 4 Simplifying z = 4
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